DOI10.1007/978-3-319-51658-5zbMath1366.65087OpenAlexW2978191791MaRDI QIDQ5892306
Victor Isakov
Publication date: 14 February 2017
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-51658-5
On some inverse problems for the Black-Scholes equation,
An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization,
A uniqueness result for the Calderón problem for \(U(N)\)-connections coupled to spinors,
Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions,
An accurate solution for the generalized Black-Scholes equations governing option pricing,
On some non-linear systems of PDEs related to inverse problems in 3-d conductivity,
Lipschitz regularity in vectorial linear transmission problems,
The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem,
A method of fundamental solutions with time-discretisation for wave motion from lateral Cauchy data,
The domain derivative for semilinear elliptic inverse obstacle problems,
Uniqueness and increasing stability in electromagnetic inverse source problems,
On increasing stability in the two dimensional inverse source scattering problem with many frequencies,
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE,
Stability in \(L^q\)-norm for inverse source parabolic problems,
A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem,
Inverse source problems without (pseudo) convexity assumptions,
Computational methods for boundary optimal control and identification problems,
On increasing stability in an inverse source problem with local boundary data at many wave numbers,
Inverse inclusion problem: a stable method to determine disks,
The Calderón problem for the fractional Schrödinger equation with drift,
An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions,
On uniqueness and stable estimation of multiple parameters in the Cahn–Hilliard equation,
Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds,
Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold,
Unique continuation for a fourth-order stochastic parabolic equation,
Recovery of multiple parameters in subdiffusion from one lateral boundary measurement,
An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology,
The Inverse Source Problem for the Wave Equation Revisited: A New Approach,
Numerical algorithm for source determination in a diffusion-logistic model from integral data based on tensor optimization,
Recovery of multifactor source in parabolic equation with integral type observation,
An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation,
Numerical identification of initial temperatures in heat equation with dynamic boundary conditions,
The linear sampling method for reconstructing a penetrable cavity with unknown external obstacles,
Convergence analysis of Tikhonov regularization for non-linear statistical inverse problems,
Nonlinear Iterative Hard Thresholding for Inverse Scattering,
A logarithmic estimate for the inverse source scattering problem with attenuation in a two-layered medium,
Adaptive minimax optimality in statistical inverse problems via SOLIT—Sharp Optimal Lepskiĭ-Inspired Tuning,
An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation,
Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation,
A new improved teaching-learning-based optimization (ITLBO) algorithm for solving nonlinear inverse partial differential equation problems,
A combination of Kohn-Vogelius and DDM methods for a geometrical inverse problem,
A two-stage numerical approach for the sparse initial source identification of a diffusion–advection equation *,
High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville,
On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces,
Regularity theory for fractional reaction–subdiffusion equation and application to inverse problem,
A right inverse of curl which is divergence‐free invariant and some applications to generalized Vekua‐type problems,
Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics,
Error estimation to the direct sampling method for the inverse acoustic source problem with multi-frequency data,
Numerical analysis of sparse initial data identification for parabolic problems,
On the scientific work of Victor Isakov,
A spectral target signature for thin surfaces with higher order jump conditions,
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data,
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Increasing Stability in Acoustic and Elastic Inverse Source Problems,
Numerical Solution of a Linearized Travel Time Tomography Problem With Incomplete Data,
An inverse problem for an electroseismic model describing the coupling phenomenon of electromagnetic and seismic waves,
Data driven regularization by projection,
Identification of a Time-Dependent Right-Hand Side of an Unsteady Equation with a Fractional Power of an Elliptic Operator,
On an inverse Robin spectral problem,
On the Inverse Source Problem with Boundary Data at Many Wave Numbers,
Infinitely many non-uniqueness examples for Cauchy problems of the two-dimensional wave and Schrödinger equations,
Space-time finite element method for determination of a source in parabolic equations from boundary observations,
Some new results for geometric inverse problems with the method of fundamental solutions,
Solving the multi-frequency electromagnetic inverse source problem by the Fourier method,
Inverse problems for first-order hyperbolic equations with time-dependent coefficients,
Two point inverse problems for singular first order operator-differential equations,
Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method,
Unique continuation for the Helmholtz equation using stabilized finite element methods,
Increasing stability in the two dimensional inverse source scattering problem with attenuation and many frequencies,
Computational identification of the time dependence of the right-hand side of a hyperbolic equation,
Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling,
Duality between range and no-response tests and its application for inverse problems,
On the three ball theorem for solutions of the Helmholtz equation,
Bayesian inversion of a diffusion model with application to biology,
Reconstruction of the principal coefficient in the damped wave equation from Dirichlet-to-Neumann operator,
Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media,
A model reduction approach for inverse problems with operator valued data,
Estimation of the Heat Conducted by a Cluster of Small Cavities and Characterization of the Equivalent Heat Conduction,
On a new type of boundary condition,
Computational identification of the lowest space-wise dependent coefficient of a parabolic equation,
Truncated trust region method for nonlinear inverse problems and application in full-waveform inversion,
The unique continuation property for second order evolution PDEs,
A method of fundamental solutions for heat and wave propagation from lateral Cauchy data,
Global stability result for parabolic Cauchy problems,
Infinite-dimensional inverse problems with finite measurements,
Target Reconstruction with a Reference Point Scatterer using Phaseless Far Field Patterns,
Stability and the inverse gravimetry problem with minimal data,
On an Inverse Source Problem for the Full Radiative Transfer Equation with Incomplete Data,
Non-iterative two-step method for solving scalar inverse 3D diffraction problem,
Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems,
Wave propagation from lateral Cauchy data using a boundary element method,
Calculating heat and wave propagation from the lateral Cauchy data,
On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics,
Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation,
Stabilization of the damped plate equation under general boundary conditions,
An Exact Redatuming Procedure for the Inverse Boundary Value Problem for the Wave Equation,
Solution of the Cauchy problem for the wave equation using iterative regularization,
A density property for tensor products of gradients of harmonic functions and applications,
On the inverse gravimetry problem with minimal data,
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources,
Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method,
The Two-Dimensional Direct and Inverse Scattering Problems with Generalized Oblique Derivative Boundary Condition