zbMath1092.35001MaRDI QIDQ5896803
Victor Isakov
Publication date: 15 March 2006
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
The direct scattering problem of obliquely incident electromagnetic waves by a penetrable homogeneous cylinder,
Uniqueness and nonuniqueness in inverse problems for elliptic partial differential equations and related medical imaging,
An equivalence between the Dirichlet and the Neumann problem for the Laplace operator,
Recovery of thermal conductivity in two-dimensional media with nonlinear source by optimizations,
Inverse problem with nonlocal observation of finding the coefficient multiplying \(u_t\) in the parabolic equation,
A parabolic inverse source problem with a dynamical boundary condition,
Determination of a time-dependent term in the right-hand side of linear parabolic equations,
A new general mathematical framework for bioluminescence tomography,
Minimal potential results for the Schrödinger equation in a slab,
Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation,
Diffusivity identification in a nonlinear time-fractional diffusion equation,
A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality,
Stable sequential Lagrange principles in the inverse final observation problem for the system of Maxwell equations in the quasistationary magnetic approximation,
Determination of a term in the right-hand side of parabolic equations,
Reconstruction algorithms for an inverse medium problem.,
Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information,
On the Cauchy problem for a semilinear fractional elliptic equation,
Criteria of the uniqueness of solutions and well-posedness of inverse source problems,
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary,
Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs,
Numerical identification of the leading coefficient of a parabolic equation,
Regularization and convergence for ill-posed backward evolution equations in Banach spaces,
Inverse source problem for the hyperbolic equation with a time-dependent principal part,
Enhanced multilevel linear sampling methods for inverse scattering problems,
On an inverse problem for a parabolic equation with the Cauchy data on a part of the lateral boundary of a cylinder,
On determining sources with compact supports in a bounded plane domain for the heat equation,
Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces,
Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation,
Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality,
Numerical approximation of a Tikhonov type regularizer by a discretized frozen steepest descent method,
Numerical method for the inverse heat transfer problem in composite materials with Stefan-Boltzmann conditions,
A note on a Cauchy problem for the Laplace equation: Regularization and error estimates,
Evolution of probability distribution in time for solutions of hyperbolic equations,
System of nonlinear integral equations for the unknown functions in a functional-differential hyperbolic equation,
Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems,
Optimal reconstruction of material properties in complex multiphysics phenomena,
The reconstruction of a source and a potential from boundary measurements,
Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment),
Singular perturbation of reduced wave equation and scattering from an embedded obstacle,
Inverse boundary spectral problem for Riemannian polyhedra,
Convex regularization of local volatility models from option prices: convergence analysis and rates,
Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain,
Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems,
Inverse problem for structural acoustic interaction,
Inverse scattering for the stationary wave equation with a friction term in two dimensions,
Inverse problem for Schrödinger equations with Yang-Mills potentials in a slab,
A regularization method for solving the Cauchy problem for the Helmholtz equation,
The inverse problem for a general class of multidimensional hyperbolic equations,
Integral-functional equation arising in the study of an inverse problem for a quasilinear hyperbolic equation,
The recovery of a parabolic equation from measurements at a single point,
Two iterative methods for a Cauchy problem of the elliptic equation with variable coefficients in a strip region,
Inverse problem for the wave equation with a white noise source,
Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement,
On some classes of inverse problems for parabolic and elliptic equations,
On uniqueness in the general inverse transmisson problem,
Globally strongly convex cost functional for a coefficient inverse problem,
Approximate acoustic cloaking in inhomogeneous isotropic space,
Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements,
Inverse spectral problems on a closed manifold,
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators,
On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem,
Regularization of a backwards parabolic equation by fractional operators,
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements,
A weighted identity for stochastic partial differential operators and its applications,
The Maslov index and the spectra of second order elliptic operators,
Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation,
Weak-norm posterior contraction rate of the 4DVAR method for linear severely ill-posed problems,
On some classes of inverse problems with overdetermination data on spatial manifolds,
Quantitative estimates of strong unique continuation for wave equations,
Analysis of Lavrentiev-finite element methods for data completion problems,
Multi-term time-fractional Bloch equations and application in magnetic resonance imaging,
Inverse inhomogeneous penetrable obstacle scattering problems in a stratified medium,
A phaseless inverse scattering problem for the 3-D Helmholtz equation,
Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface,
One-iteration reconstruction algorithm for geometric inverse source problem,
Uniqueness for time-dependent inverse problems with single dynamical data,
Recovering the boundary corrosion from electrical potential distribution using partial boundary data,
A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation,
Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem,
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems,
Space-dependent perfusion coefficient identification in the transient bio-heat equation,
Stability of the unique continuation for the wave operator via Tataru inequality: the local case,
Ground detection by a single electromagnetic far-field measurement,
Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements,
A timelike Cauchy problem and an inverse problem for general hyperbolic equations,
Identification of memory kernels in hyperbolic problems,
Numerical solution of inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative,
Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: uniqueness and stability,
Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space,
Identification of the exchange coefficient from indirect data for a coupled continuum pipe-flow model,
Stability of inverse problems for ultrahyperbolic equations,
The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains,
Convex source support in three dimensions,
Some geometric inverse problems for the Lamé system with applications in elastography,
Harmonic functions in union of chambers,
Recovery of the absorption coefficient in radiative transport from a single measurement,
A control approach to recover the wave speed (conformal factor) from one measurement,
Some geometric inverse problems for the linear wave equation,
Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data,
PDE-constrained optimal control approach for the approximation of an inverse Cauchy problem,
Regularization of the boundary control method for numerical solutions of the inverse problem for an acoustic wave equation,
Tracking Distributed Parameters System Dynamics with Recursive Dynamic Mode Decomposition with Control,
Uniqueness and Stability of Determining the Residual Stress by One Measurement,
Discretization of parameter identification in PDEs using neural networks,
Uniqueness for inverse source problems for fractional diffusion-wave equations by data during not acting time,
Conditional stability for a Cauchy problem for the ultrahyperbolic Schrödinger equation,
Recovering density for the Mindlin–Timoshenko system by means of a single boundary measurement,
Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems,
APIK: Active Physics-Informed Kriging Model with Partial Differential Equations,
Determination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary condition,
Continuation of solutions to elliptic and parabolic equations on hyperplanes and application to inverse source problems,
Some properties of orthogonal linear splines and their applications to inverse problems,
Reconstruction of pointwise sources in a time-fractional diffusion equation,
Least squares solvers for ill-posed PDEs that are conditionally stable,
Recover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements *,
Application of Tikhonov fixed point theorem to analyze an inverse problem for a bioconvective flow model,
Inverse problems for the Helmholtz equation on finding the right-hand side with nonlocal integral observation,
Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation,
Carleman estimates for the structurally damped plate equations with Robin boundary conditions and applications,
Inverse problem for an integrodifferential equation of the hyperbolic type in a rectangular domain,
On stochastic elliptic equations driven by Wiener process with non-local condition,
Uniqueness of solution with zero boundary condition for time-fractional wave equations,
Inverse parabolic problem with the Heaviside function arising in finance,
A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation,
A numerical method for a backward problem of a linear stochastic Kuramoto-Sivashinsky equation,
Inverse problems for equations of a mixed parabolic-hyperbolic type with power degeneration in finding the right-hand parts that depend on time,
Inverse problem for integro-differential Kelvin-Voigt equations,
The problem of determining multiple coefficients in an ultrahyperbolic equation,
On Weak Observability for Evolution Systems with Skew-Adjoint Generators,
A decoupled physics-informed neural network for recovering a space-dependent force function in the wave equation from integral overdetermination data,
Radial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equation,
Recovering piecewise constant refractive indices by a single far-field pattern,
The Calderón Problem for a Space-Time Fractional Parabolic Equation,
Uniqueness of a 3-D coefficient inverse scattering problem without the phase information,
On some classes of inverse problems of recovering a source function,
An inverse problem for the heat equation,
Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations,
Inverse problems for a degenerate mixed parabolic-hyperbolic equation on finding time-depending factors in right hand sides,
Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems,
Uniqueness to inverse acoustic and electromagnetic scattering from locally perturbed rough surfaces,
Backward problems in time for fractional diffusion-wave equation,
Inverse Initial Boundary Value Problem for a Non-linear Hyperbolic Partial Differential Equation,
Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity,
Applications of the PRESB Preconditioning Method for OPT-PDE Problems,
On the Kohn–Vogelius formulation for solving an inverse source problem,
A reconstruction of object properties with significant uncertainties,
Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem,
On corners scattering stably and stable shape determination by a single far-field pattern,
Unnamed Item,
A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation,
Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities,
Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem,
Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map,
Simultaneous identification of Robin coefficient and heat flux in an elliptic system,
Stability for Some Inverse Problems for Transport Equations,
Increasing Stability for the Conductivity and Attenuation Coefficients,
Noniterative Reconstruction Method for an Inverse Potential Problem Modeled by a Modified Helmholtz Equation,
Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation,
The fixed angle scattering problem and wave equation inverse problems with two measurements,
Imaging point sources in heterogeneous environments,
Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation,
An optimal quasi solution for the Cauchy problem for Laplace equation in the framework of inverse ECG,
Modern regularization methods for inverse problems,
Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials,
Carleman-Based Reconstruction Algorithm for Waves,
RECOVERING OF LOWER ORDER COEFFICIENTS IN FORWARDBACKWARD PARABOLIC EQUATIONS,
Inverse coefficient problems for a transport equation by local Carleman estimate,
Identification of space distributed coefficients in an indirectly transmitted diseases model,
Continuous analogue to iterative optimization for PDE-constrained inverse problems,
Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation,
Limited-angle acousto-electrical tomography,
Estimating a pressure dependent thermal conductivity coefficient with applications in food technology,
Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem,
A total variation regularization method for an inverse problem of recovering an unknown diffusion coefficient in a parabolic equation,
Inverse moving source problem for time-fractional evolution equations: determination of profiles,
Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems,
Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements,
Uniqueness in determining refractive indices by formally determined far-field data,
Multifrequency Impedance Imaging with Multiple Signal Classification,
Locating Multiple Multiscale Acoustic Scatterers,
Some inverse problems for wave equations with fractional derivative attenuation,
A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations,
Shape Reconstruction in a Non-linear Problem,
Reconstruction of contact regions in semiconductor transistors using Dirichlet-Neumann cost functional approach,
Numerical Estimation of a Diffusion Coefficient in Subdiffusion,
Stably determining time-dependent convection–diffusion coefficients from a partial Dirichlet-to-Neumann map,
Inverse problem of reconstruction of degenerate diffusion coefficient in a parabolic equation,
Regularization of the factorization method applied to diffuse optical tomography,
Determination of a time-dependent coefficient in awave equation with unusual boundary condition,
A Globally Convergent Algorithm for a PDE-Constrained Optimization Problem Arising in Electrical Impedance Tomography,
Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries,
Joint estimation of Robin coefficient and domain boundary for the Poisson problem,
Source reconstruction and stability via boundary control of abstract viscoelastic systems,
A coupled complex boundary method for an inverse conductivity problem with one measurement,
Remarks on Long Time Versus Steady State Optimal Control,
A regularization method based on level-sets for the problem of crack detection from electrical measurements,
A coupled complex boundary method for parameter identification in elliptic problems,
The Inverse Problem of the Simultaneous Determination of the Right-Hand Side and the Lowest Coefficients in Parabolic Equations,
Iterative Solution of the Retrospective Inverse Problem for a Parabolic Equation Using the Conjugate Gradient Method,
Approximate solution for a 2-D fractional differential equation with discrete random noise,
Inverse final observation problems for Maxwell's equations in the quasi-stationary magnetic approximation and stable sequential Lagrange principles for their solving,
Increasing stability for the inverse source scattering problem with multi-frequencies,
Quantification of the unique continuation property for the heat equation,
Observation estimate for kinetic transport equations by diffusion approximation,
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface,
Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov-Galerkin method,
On the randomised stability constant for inverse problems,
Uniqueness and numerical reconstruction for inverse problems dealing with interval size search,
Physics constrained learning for data-driven inverse modeling from sparse observations,
On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem,
A numerical method for solving retrospective inverse problem of fractional parabolic equation,
A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation,
Fixed angle inverse scattering in the presence of a Riemannian metric,
On the global minimization of discretized residual functionals of conditionally well-posed inverse problems,
On the inversion of a generalized Radon transform of seismic type,
A stability estimate for an inverse problem of determining a coefficient in a hyperbolic equation with a point source,
Inverse problems for linear parabolic equations using mixed formulations. Part 1: Theoretical analysis,
Iteration method for solving the problem of determining the coefficient and the source in the heat equation,
Simultaneous identification of the spatio-temporal dependent heat transfer coefficient and spatially dependent heat flux using an MCGM in a parabolic system,
Numerical solutions of the forward and inverse problems arising in diffuse optical tomography,
On vanishing near corners of transmission eigenfunctions,
Inversion of the initial value for a time-fractional diffusion-wave equation by boundary data,
Iterative method for solving an inverse coefficient problem for a hyperbolic equation,
Electrorheological fluids: ill posedness of uniqueness backward in time,
The Poisson embedding approach to the Calderón problem,
An inverse source problem for parabolic equations with local measurements,
Regularization of inverse problems via box constrained minimization,
Topological derivatives of shape functionals. part III: second-order method and applications,
A gradient-based approach for identification of the zeroth-order coefficient \(p(x)\) in the parabolic equation \(u_t=(k(x)u_x)_x-p(x)u\) from Dirichlet-type measured output,
Stable reconstruction of the initial condition in parabolic equations from boundary observations,
Generalized Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation,
DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs,
Iterative method for the numerical solution of an inverse coefficient problem for a system of partial differential equations,
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation,
Determination of unknown boundary in the composite materials with Stefan-Boltzmann conditions,
On some geometric inverse problems for nonscalar elliptic systems,
Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times,
Uniformly a posteriori error estimates for regularizing algorithms,
Determination of compactly supported sources for the one-dimensional heat equation,
Determination of a wave field in a laterally inhomogeneous medium from boundary data,
On the completeness of products of solutions to the Helmholtz equation,
Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations,
On the uniqueness of the solution of the inverse coefficient problem for the Helmholtz equation in a phaseless spatially nonoverdetermined statement,
Inverse source problem for a multiterm time-fractional diffusion equation with nonhomogeneous boundary condition,
Determination of a source in the heat equation from integral observations,
A greedy algorithm for nonlinear inverse problems with an application to nonlinear inverse gravimetry,
Carleman commutator approach in logarithmic convexity for parabolic equations,
State reconstruction of a distributed parameter system with exact observability,
Iterative method for solving an inverse problem for a hyperbolic equation with a small parameter multiplying the highest derivative,
On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions,
Inverse viscosity problem for the Navier-Stokes equation,
A hybrid algorithm for solving inverse problems in elasticity,
On solution sets of nonlinear equations with nonsmooth operators in Hilbert space and the quasi-solution method,
A novel approach for solving an inverse reaction-diffusion-convection problem,
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front,
Boundary value problems for a fourth order partial differential equation with an unknown right-hand part,
Inverse problems for a two-dimensional heat equation with unknown right-hand side,
Some non-linear systems of PDEs related to inverse problems in conductivity,
Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations,
Strong unique continuation for second-order hyperbolic equations with time-independent coefficients,
An inverse problem for an equation of parabolic-hyperbolic type to find the factors of the right-hand side depending on the spatial coordinates,
Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations,
Reconstruction of a source domain from boundary measurements,
A regularization operator for source identification for elliptic PDEs,
A partial data inverse problem for the convection-diffusion equation,
Nonhomogeneous backward heat conduction problem: compact filter regularization and error estimates,
Determine a space-dependent source term in a time fractional diffusion-wave equation,
Conditionally stable unique continuation and applications to thermoacoustic tomography,
On the Cauchy problem for the wave equation with data on the boundary,
Simultaneous reconstruction of space-dependent heat transfer coefficients and initial temperature,
Approximate solution of inverse problems for the heat equation with a singular perturbation,
Inverse problem related to boundary shape identification for a hyperbolic differential equation,
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions,
Stable conical regularization by constructible dilating cones with an application to \(L^{p}\)-constrained optimization problems,
Inverse problems for a half-order time-fractional diffusion equation in arbitrary dimension by Carleman estimates,
Some inverse problems for the Burgers equation and related systems,
Calculation of the gradient of Tikhonov's functional in solving coefficient inverse problems for linear partial differential equations,
Even-order Toeplitz tensor: framework for multidimensional structured linear systems,
Recovery of multiple coefficients in a reaction-diffusion equation,
Reconstruction algorithms of an inverse geometric problem for the modified Helmholtz equation,
Imaging of mass distributions from partial domain measurement,
Solution of physics-based Bayesian inverse problems with deep generative priors,
A physically-informed deep-learning model using time-reversal for locating a source from sparse and highly noisy sensors data,
Existence of a solution of the inverse coefficient problem for a quasilinear hyperbolic equation,
Steady systems of PDEs. Two examples from applications,
A boundary integral formulation and a topological energy-based method for an inverse 3D multiple scattering problem with sound-soft, sound-hard, penetrable, and absorbing objects,
Non-uniqueness results for entropy two-phase solutions of forward-backward parabolic problems with unstable phase,
Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak,
Determining the intensity variation of heat sources in the heat equation,
Conditional stability for an inverse source problem and an application to the estimation of air dose rate of radioactive substances by drone data,
Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model,
Recovering a polyhedral obstacle by a few backscattering measurements,
Carleman estimates for the regularization of ill-posed Cauchy problems,
Increasing stability for determining the potential in the Schrödinger equation with attenuation from the Dirichlet-to-Neumann map,
Stability and uniqueness for an integral geometry problem with a weight function,
On the first solution of a long standing problem: uniqueness of the phaseless quantum inverse scattering problem in 3-d,
On stability and regularization for data-driven solution of parabolic inverse source problems,
Determination of a solely time-dependent source in a semilinear parabolic problem by means of boundary measurements,
Recovery of the coefficient of \(u_t\) in the heat equation from a condition of nonlocal observation in time,
Solvability of a Two Dimensional Coefficient Inverse Problem for Transport Equation and a Numerical Method,
On a class of frozen regularized Gauss-Newton methods for nonlinear inverse problems,
A Lipschitz stable reconstruction formula for the inverse problem for the wave equation,
Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation,
A modified error in constitutive equation approach for frequency-domain viscoelasticity imaging using interior data,
Inverse problems for a mixed parabolic-hyperbolic equation with a degenerate parabolic part,
Recovery of the heat equation from a single boundary measurement,
Increasing stability in the inverse source problem with many frequencies,
Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Dirichlet B.C. through an additional localized Neumann boundary trace,
An efficient and robust numerical algorithm for estimating parameters in Turing systems,
Hierarchical Bayesian inference for ill-posed problems via variational method,
Full discretization of a nonlinear parabolic problem containing volterra operators and an unknown dirichlet boundary condition,
Bayesian Updating in the Determination of Forces in Euler-Bernoulli Beams,
Reconstruction Procedures for Two Inverse Scattering Problems Without the Phase Information,
A regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutions,
Numerical Solution of the Retrospective Inverse Problem of Heat Conduction with the Help of the Poisson Integral,
Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type,
Stability analysis of the harmonic polynomial method for the Cauchy problem of Laplace’s equation,
Sensitivity analysis of an inverse problem for the wave equation with caustics,
Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse robin problems,
On Boundary-Value Problems for a Partial Differential Equation with Caputo and Bessel Operators,
Coefficient identification in parabolic equations with final data,
Integral equation method for acoustic scattering by an inhomogeneous penetrable obstacle in a stratified medium,
Completeness of the asymmetric products of solutions of a second-order elliptic equation and the uniqueness of the solution of an inverse problem for the wave equation,
Potential reconstruction for a class of hyperbolic systems from incomplete measurements,
Some features of solving an inverse backward problem for a generalized Burgers' equation,
On the clustering of stationary points of Tikhonov's functional for conditionally well-posed inverse problems,
Inverse problems for stochastic parabolic equations with additive noise,
A mixed formulation of the Tikhonov regularization and its application to inverse PDE problems,
SemiGlobal Exact Controllability of Nonlinear Plates,
Simultaneous identification of initial field and spatial heat source for heat conduction process by optimizations,
Inverse problem of finding a factor depending on the spatial variables on the right-hand side in a parabolic-hyperbolic equation,
A Time-Dependent Direct Sampling Method for Recovering Moving Potentials in a Heat Equation,
The Enclosure Method for the Anisotropic Maxwell System,
A new coupled complex boundary method (CCBM) for an inverse obstacle problem,
A Quasi-Boundary-Value method for a Cauchy problem of an elliptic equation in multiple dimensions,
Completeness of products of homogeneous harmonic polynomials and uniqueness of the solution to an inverse wave sounding problem,
A Carleman estimate and an energy method for a first-order symmetric hyperbolic system,
Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination,
A global Holmgren theorem for multidimensional hyperbolic partial differential equations,
Recovery of nonlinear terms for reaction diffusion equations from boundary measurements,
Numerical solution of the 3-D travel time tomography problem,
On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms,
On some inverse problems for a linearized system of heat and mass transfer,
On Electromagnetic Scattering from a Penetrable Corner,
Increasing Stability in the Inverse Source Problem with Attenuation and Many Frequencies,
Uniqueness' failure for the finite element Cauchy-Poisson's problem,
On the identification of piecewise constant coefficients in optical diffusion tomography by level set,
Increasing Stability of the Continuation for General Elliptic Equations of Second Order,
Inverse Problem for a Linearized Jordan–Moore–Gibson–Thompson Equation,
Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations,
New notions and constructions of the boundary control method,
Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries,
Inverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutions,
METHOD OF FUNDAMENTAL SOLUTION FOR AN INVERSE HEAT CONDUCTION PROBLEM WITH VARIABLE COEFFICIENTS,
A variational technique of mollification applied to backward heat conduction problems,
Recovery of time dependent volatility coefficient by linearization,
Inverse problems for a three-dimensional equation of parabolic-hyperbolic type in finding time-dependent factors of the right-hand sides,
The Schrödinger semigroup on some flat and non flat manifolds,
Decay rates to equilibrium for nonlinear plate equations with degenerate, geometrically-constrained damping,
An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method,
Landweber–Kaczmarz for parameter identification in time-dependent inverse problems: all-at-once versus reduced version,
Estimation of piecewise constant coefficients of parabolic equations: applications to the detection of buried objects,
Some inverse and control problems for fluids,
A parabolic inverse convection-diffusion-reaction problem solved using space-time localization and adaptivity,
A quasi-reversibility regularization method for the Cauchy problem of the Helmholtz equation,
Fully discrete finite element data assimilation method for the heat equation,
Carleman Estimate for a General Second-Order Hyperbolic Equation,
Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction,
Modified quasi-boundary value method for a Cauchy problem of semi-linear elliptic equation,
Efficient reliable image reconstruction schemes for diffuse optical tomography,
Bioluminescence tomography for media with spatially varying refractive index,
RTE-based bioluminescence tomography: A theoretical study,
On the ersatz material approximation in level-set methods,
The method of fundamental solutions for the inverse conductivity problem,
The inverse problem of magnetorelaxometry imaging,
Regularization Methods for Ill-Posed Problems,
On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems,
INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION,
Single logarithmic conditional stability in determining unknown boundaries,
Identifying multipolar acoustic sources by the direct sampling method,
High-Frequency Dynamics for the Schrödinger Equation, with Applications to Dispersion and Observability,
Shape and parameter reconstruction for the Robin transmission inverse problem,
Reconstruction of local volatility for the binary option model,
Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function,
An Inverse Source Problem Related to Acoustic Nonlinearity Parameter Imaging,
Flip procedure in geometric approximation of multiple-component shapes – Application to multiple-inclusion detection,
On the Solvability of the Discrete Conductivity and Schrödinger Inverse Problems,
Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate,
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials,
Size estimates in thermography,
Inverse Problems for Multidimensional Heat Equations by Measurements at a Single Point on the Boundary,
On Quantitative Analysis of an Ill-Posed Elliptic Problem with Cauchy Boundary Conditions,
Global Carleman Estimates for Waves and Applications,
Recovery of a source term or a speed with one measurement and applications,
Connections Between the Dirichlet and the Neumann Problem for Continuous and Integrable Boundary Data,
К вопросу о корректности обратных задач для неоднородного уравнения Гельмгольца,
Inverse problem for fractional diffusion equation,
Unnamed Item,
Reconstructing acoustic obstacles by planar and cylindrical waves,
Understanding measure-driven algorithms solving irreversibly ill-conditioned problems,
A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration,
Inference for a discretized stochastic logistic differential equation and its application to biological growth,
The mean field games system: Carleman estimates, Lipschitz stability and uniqueness,
An inverse source problem of a semilinear time-fractional reaction–diffusion equation,
Inverse coefficient problem for a fractional-diffusion equation with a Bessel operator,
INVERSE PROBLEMS OF RESTORING PARAMETERS IN PARABOLIC AND HYPERBOLIC EQUATIONS,
Laplace priors and spatial inhomogeneity in Bayesian inverse problems,
Level set‐based shape optimization approach for the inverse optical tomography problem,
Hölder stability estimates in determining the time-dependent coefficients of the heat equation from the Cauchy data set,
A Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results,
Unique continuation on a sphere for Helmholtz equation and its numerical treatments,
The necessary optimal condition of inverse heat source problem,
Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems,
Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity,
Inverse coefficient problem for the time‐fractional diffusion equation with Hilfer operator,
On the Cauchy problem for the wave equation in a two-dimensional domain with data on the boundary,
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis,
A depth-dependent stability estimate in an iterative method for solving a Cauchy problem for the Laplace equation,
Quasi-solution method and global minimization of the residual functional in conditionally well-posed inverse problems,
On the inverse problem of vibro-acoustography,
An inverse problem for the Schrödinger equation with Neumann boundary condition,
Global uniqueness in an inverse problem for a class of damped stochastic plate equations,
Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method,
Uniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problem,
Harmonic measures and numerical computation of Cauchy problems for Laplace equations,
Numerical and Theoretical Analysis for Optimal Shape Inverse Problems,
Inverse problem of Bitsadze-Samarskii type for a two-dimensional parabolic equation of fractional order,
An inverse source problem for a two terms time-fractional diffusion equation,
On backward fractional pseudo parabolic equation: regularization by quasi-boundary value method, convergence rates,
Determination of the right-hand side in elliptic equations,
On inertial iterated Tikhonov methods for solving ill-posed problems,
Numerical methods for determining the coefficient and the source term in the heat equation,
Numerical methods for identifying the diffusion coefficient in a nonlinear elliptic equation,
On the solvability of the inverse problems of parameter recovery in elliptic equations,
On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types,
Hölder stability and uniqueness for the mean field games system via Carleman estimates,
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