scientific article
From MaRDI portal
zbMath0497.35082MaRDI QIDQ3961897
A. L. Bukhgejm, Michael V. Klibanov
Publication date: 1981
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45)
Related Items
Identification of convection term in a parabolic equation with a single measurement, An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation, Inverse parabolic problems of determining functions with one spatial-component independence by Carleman estimate, On local and global structures of transmission eigenfunctions and beyond, Lipschitz stability for some coupled degenerate parabolic systems with locally distributed observations of one component, Lipschitz stability of an inverse problem for the Kawahara equation with damping, Uniqueness of determination of a source in the Cauchy problem for the system of equations of continual filtration theory, An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains, Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method, Multidimensional inverse problems and completeness of the products of solutions to PDE, An inverse problem for the heat equation in an unbounded guide, Carleman estimates for elliptic operators with complex coefficients. II: Transmission problems, Uniqueness and stability of an inverse problem for a phase field model using data from one component, Reconstruction of two time independent coefficients in an inverse problem for a phase field system, Determination of time dependent factors of coefficients in fractional diffusion equations, An inverse problem for Maxwell's equations in anisotropic media, Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs, Inverse source problem for the hyperbolic equation with a time-dependent principal part, Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data, Reconstruction of space-dependent potential and/or damping coefficients in the wave equation, A stability estimate for an inverse problem of determining a coefficient in a hyperbolic equation with a point source, Identification of the potential term of the wave equation, Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations, A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data, Determination of singular time-dependent coefficients for wave equations from full and partial data, Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality, Spectral inequality and resolvent estimate for the bi-Laplace operator, Inverse problems for parabolic equation with discontinuous coefficients, Global uniqueness in an inverse problem for time fractional diffusion equations, An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions, Carleman estimate for the Schrödinger equation and application to magnetic inverse problems, Inverse problem for one-dimensional wave equation with matrix potential, Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm, Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate, Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data, Inverse problem for structural acoustic interaction, Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces, Stability in the determination of a time-dependent coefficient for wave equations from partial data, Convexification of a 3-D coefficient inverse scattering problem, An inverse problem for the wave equation, A stability estimate for a solution to an inverse problem of electrodynamics, A new algorithm to determine the creation or depletion term of parabolic equations from boundary measurements, Resolving power of algorithm for solving the coefficient inverse problem for the geoelectric equation, Globally strongly convex cost functional for a coefficient inverse problem, An inverse source problem for singular parabolic equations with interior degeneracy, Stability of the determination of a coefficient for wave equations in an infinite waveguide, Inverse problem for a nonlinear parabolic equation with nonsmooth periodic coefficients, Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate, Carleman estimates for elliptic operators with complex coefficients. I: Boundary value problems, Carleman estimate for wave equations coupled with the second order terms, Carleman estimates for the Lamé system with stress boundary condition, A weighted identity for stochastic partial differential operators and its applications, Heat equation on the Heisenberg group: observability and applications, An inverse problem for Maxwell's equations in a uniaxially anisotropic medium, Inverse problems for first-order hyperbolic equations with time-dependent coefficients, Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations, A Carleman estimate of some anisotropic space-fractional diffusion equations, Logarithmic stability in determining the time-dependent zero order coefficient in a parabolic equation from a partial Dirichlet-to-Neumann map. application to the determination of a nonlinear term, Carleman inequalities and inverse problems for the Schrödinger equation, Uniqueness for time-dependent inverse problems with single dynamical data, Hölder stability in determining the potential and the damping coefficient in a wave equation, Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem, Carleman estimates for stratified media, Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation, Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation, Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method, Inverse viscosity problem for the Navier-Stokes equation, Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system, Problem of determining the speed of sound and the memory of an anisotropic medium, Lipschitz stability in determining density and two Lamé coefficients, Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains, Inverse source problems for the Korteweg-de Vries-Burgers equation with mixed boundary conditions, Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function, Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: uniqueness and stability, Local stability for an inverse coefficient problem of a fractional diffusion equation, Stability of inverse problems for ultrahyperbolic equations, Logarithmic stability in the dynamical inverse problem for the Schrödinger equation by arbitrary boundary observation, The fixed angle scattering problem with a first-order perturbation, Some inverse stability results for the bistable reaction-diffusion equation using Carleman inequalities, A meshfree method for inverse wave propagation using collocation and radial basis functions, Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation, Uniqueness and stability in inverse parabolic equations with memory, Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions, Uniqueness and stability in multidimensional hyperbolic inverse problems, Research biography of a distinguished expert in the field of inverse problems: Professor Michael Victor Klibanov, Recovery of time-dependent coefficients from boundary data for hyperbolic equations, Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. I: Carleman estimates, A stability result for the recovery of a 3D viscoelasticity system coefficient, Stability of a coefficient inverse problem for the discrete Schrödinger equation and a convergence result, Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map, Identification of source terms in a coupled age-structured population model with discontinuous diffusion coefficients, A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications, Stabilization of the damped plate equation under general boundary conditions, An inverse problem for the Schrödinger equation with variable coefficients and lower order terms, Carleman estimates for the regularization of ill-posed Cauchy problems, The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations, On the first solution of a long standing problem: uniqueness of the phaseless quantum inverse scattering problem in 3-d, On continuous dependence for an inverse initial boundary value problem for the wave equation, A globally convergent numerical method for a coefficient inverse problem for a parabolic equation, Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements, Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions, Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide, Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation, Simultaneous determination of different class of parameters for a diffusion equation from a single measurement, Carleman estimate for the Navier–Stokes equations and applications, Null controllability and inverse source problem for stochastic Grushin equation with boundary degeneracy and singularity, Globally Strictly Convex Cost Functional for a 1-D Inverse Medium Scattering Problem with Experimental Data, A Carleman estimate and an energy method for a first-order symmetric hyperbolic system, Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling, Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds, Sharp uniqueness and stability of solution for an inverse source problem for the Schrödinger equation, Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation, A source reconstruction algorithm for the Stokes system from incomplete velocity measurements, The problem of determining multiple coefficients in an ultrahyperbolic equation, Determination of source or initial values for acoustic equations with a time-fractional attenuation, Numerical solution of the 3-D travel time tomography problem, Carleman estimates for a magnetohydrodynamics system and application to inverse source problems, The mean field games system: Carleman estimates, Lipschitz stability and uniqueness, Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems, Logarithmic Stable Recovery of the Source and the Initial State of Time Fractional Diffusion Equations, Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity, Identification of source terms in heat equation with dynamic boundary conditions, Inverse parabolic problems by Carleman estimates with data taken at initial or final time moment of observation, Uniqueness of inverse source problems for general evolution equations, An inverse problem for a hyperbolic system in a bounded domain, Global Lipschitz stability for an inverse source problem for the Navier–Stokes equations, Global uniqueness in an inverse problem for a class of damped stochastic plate equations, Inverse problem for a structural acoustic system with variable coefficients, Convexification and experimental data for a 3D inverse scattering problem with the moving point source, Convexification for an inverse parabolic problem, 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, Parameter Reconstruction for General Transport Equation, Simultaneous determination of the drift and diffusion coefficients in stochastic differential equations, Uniqueness of a 3-D coefficient inverse scattering problem without the phase information, Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide, A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium, A Coefficient Inverse Problem with a Single Measurement of Phaseless Scattering Data, Recovering a potential in damped wave equation from Neumann-to-Dirichlet operator, PDE-based numerical method for a limited angle x-ray tomography, An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method, Fixed Angle Inverse Scattering for Almost Symmetric or Controlled Perturbations, Hölder Stably Determining the Time-Dependent Electromagnetic Potential of the Schrödinger Equation, Stability for inverse source problems by Carleman estimates, Simultaneous Determination of Two Coefficients in Itô Diffusion Processes: Theoretical and Numerical Approaches, Inverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of Orbits, Inverse Problems for a Compressible Fluid System, Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction, Inverse source problems in elastodynamics, An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data, Optimization approach for axisymmetric electric field cloaking and shielding, Unnamed Item, Stability for Some Inverse Problems for Transport Equations, Lipschitz stability in the determination of the principal part of a parabolic equation, Stability estimate in the determination of a time-dependent coefficient for hyperbolic equation by partial Dirichlet-to-Neumann map, Carleman estimates for the non-stationary Lamé system and the application to an inverse problem, Recovery of Nonsmooth Coefficients Appearing in Anisotropic Wave Equations, Carleman estimate and an inverse source problem for the Kelvin–Voigt model for viscoelasticity, Reconstruction of the principal coefficient in the damped wave equation from Dirichlet-to-Neumann operator, Inverse source problem for a system of wave equations on a Lorentzian manifold, An Inverse Source Problem Related to Acoustic Nonlinearity Parameter Imaging, Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem, The fixed angle scattering problem and wave equation inverse problems with two measurements, Uniqueness of solution of an inverse source problem for ultrahyperbolic equations, Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations, Inverse problem for a Cahn–Hilliard type system modeling tumor growth, Inverse problems for the stationary and pseudoparabolic equations of diffusion, Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates, A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data, Recovery of Time-Dependent Damping Coefficients and Potentials Appearing in Wave Equations from Partial Data, Inverse coefficient problems for a transport equation by local Carleman estimate, Recovery of Time-Dependent Coefficient on Riemannian Manifold for Hyperbolic Equations, Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates, Inverse coefficient problem for a magnetohydrodynamics system by Carleman estimates, The inverse problem of two-state quantum systems with non-adiabatic static linear coupling, Inverse problem of reconstruction of degenerate diffusion coefficient in a parabolic equation, Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data, Inverse source problem related to one-dimensional Saint-Venant equation, On the stability of recovering two sources and initial status in a stochastic hyperbolic-parabolic system