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Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems

Journal of inverse and ill-posed problems, 2013-08, Vol.21 (4), p.477-560

Klibanov, Michael V.

2013

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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

1. Aufl., 2012

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Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data

Inverse problems, 2019-03, Vol.35 (3), p.35005

2019

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A Coefficient Inverse Problem for the Mean Field Games System

Applied mathematics & optimization, 2023-10, Vol.88 (2), p.54, Article 54

Klibanov, Michael V.

2023

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Convexification of restricted Dirichlet-to-Neumann map

Journal of inverse and ill-posed problems, 2017-10, Vol.25 (5), p.669-685

Klibanov, Michael V.

2017

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PHASELESS INVERSE SCATTERING PROBLEMS IN THREE DIMENSIONS

SIAM journal on applied mathematics, 2014-01, Vol.74 (2), p.392-410

KLIBANOV, MICHAEL V.

2014

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Convexification of a 3-D coefficient inverse scattering problem

Computers & mathematics with applications (1987), 2019-03, Vol.77 (6), p.1681-1702

2019

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The mean field games system: Carleman estimates, Lipschitz stability and uniqueness

Journal of inverse and ill-posed problems, 2023-06

Klibanov, Michael V.

2023

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Convexification for an inverse parabolic problem

Inverse problems, 2020-08, Vol.36 (8), p.85008

2020

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Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations

Inverse problems, 2022-03, Vol.38 (3), p.35009

2022

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Hölder stability and uniqueness for the mean field games system via Carleman estimates

Studies in applied mathematics (Cambridge), 2023-11, Vol.151 (4), p.1447-1470

2023

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Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs

Inverse problems, 2015-12, Vol.31 (12), p.125007-125026

Klibanov, Michael V

2015

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A new version of the convexification method for a 1D coefficient inverse problem with experimental data

Inverse problems, 2018-11, Vol.34 (11), p.115014

2018

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Convexification for the viscocity solution for a coefficient inverse problem for the radiative transfer equation

Inverse problems, 2023-12, Vol.39 (12), p.125002

2023

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A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data

Journal of inverse and ill-posed problems, 2012-10, Vol.20 (4), p.513-565

2012

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Convexification Numerical Method for the Retrospective Problem of Mean Field Games

Applied mathematics & optimization, 2024-08, Vol.90 (1), p.6, Article 6

2024

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Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem

SIAM journal on applied mathematics, 2021-01, Vol.81 (5), p.1954-1978

2021

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Uniqueness of a one-dimensional phase retrieval problem

Inverse problems, 2014-07, Vol.30 (7), p.75004-10

2014

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Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs

Nonlinear analysis: real world applications, 2017-04, Vol.34, p.201-224

2017

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Uniqueness of a 3-D coefficient inverse scattering problem without the phase information

Inverse problems, 2017-09, Vol.33 (9), p.95007

2017

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Relaxation property for the adaptivity for ill-posed problems

Applicable analysis, 2014-02, Vol.93 (2), p.223-253

2014

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On the first solution of a long standing problem: Uniqueness of the phaseless quantum inverse scattering problem in 3-d

Applied mathematics letters, 2014-11, Vol.37, p.82-85

Klibanov, Michael V.

2014

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Travel time tomography with formally determined incomplete data in 3D

Inverse problems and imaging (Springfield, Mo.), 2019-12, Vol.13 (6), p.1367-1393

V. Klibanov, Michael

2019

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Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate

Inverse problems, 2019-11, Vol.35 (11), p.115012

2019

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Through-the-Wall Nonlinear SAR Imaging

IEEE transactions on geoscience and remote sensing, 2021-09, Vol.59 (9), p.7475-7486

2021

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Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data

A Coefficient Inverse Problem for the Mean Field Games System

Convexification of restricted Dirichlet-to-Neumann map

PHASELESS INVERSE SCATTERING PROBLEMS IN THREE DIMENSIONS

Convexification of a 3-D coefficient inverse scattering problem

The mean field games system: Carleman estimates, Lipschitz stability and uniqueness

Convexification for an inverse parabolic problem

Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations

Hölder stability and uniqueness for the mean field games system via Carleman estimates

Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs

A new version of the convexification method for a 1D coefficient inverse problem with experimental data

Convexification for the viscocity solution for a coefficient inverse problem for the radiative transfer equation

A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data

Convexification Numerical Method for the Retrospective Problem of Mean Field Games

Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem

Uniqueness of a one-dimensional phase retrieval problem

Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs

Uniqueness of a 3-D coefficient inverse scattering problem without the phase information

Relaxation property for the adaptivity for ill-posed problems

On the first solution of a long standing problem: Uniqueness of the phaseless quantum inverse scattering problem in 3-d

Travel time tomography with formally determined incomplete data in 3D

Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate

Through-the-Wall Nonlinear SAR Imaging

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