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Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs (Q3462578)

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Language	Label	Description	Also known as
English	Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs	scientific article

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scholarly article

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

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Michael V. Klibanov

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Inverse Problems

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publication date

15 January 2016

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zbMATH Keywords

Carleman estimates

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ill-posed Cauchy problems

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semilinear PDEs

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/0266-5611/31/12/125007

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Global Carleman Estimates for Waves and Applications

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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

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Globally strongly convex cost functional for a coefficient inverse problem

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An alternating iterative procedure for the Cauchy problem for the Helmholtz equation

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A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation

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About stability and regularization of ill-posed elliptic Cauchy problems: the case of Lipschitz domains

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The ``exterior approach'' to solve the inverse obstacle problem for the Stokes system

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An $H_\mathsf{div}$-Based Mixed Quasi-reversibility Method for Solving Elliptic Cauchy Problems

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A noncharacteristic cauchy problem for linear parabolic equations II: a variational method

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The Cauchy problem for Laplace's equation via the conjugate gradient method

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Optimizational method for solving the Cauchy problem for an elliptic equation

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Inverse problems and Carleman estimates

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A Computational Quasi-Reversibility Method for Cauchy Problems for Laplace’s Equation

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Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data

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Global Convexity in a Three-Dimensional Inverse Acoustic Problem

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Carleman estimates for coefficient inverse problems and numerical applications.

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

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Recovering Dielectric Constants of Explosives via a Globally Strictly Convex Cost Functional

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Carleman estimates for the regularization of ill-posed Cauchy problems

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Globally strictly convex cost functional for an inverse parabolic problem

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Global optimization methods for multimodal inverse problems

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Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot

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Analysis of an Adaptive Finite Element Method for Recovering the Robin Coefficient

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Identifiers

zbMATH Open document ID

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10.1088/0266-5611/31/12/125007

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3462578

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