Uniqueness, stability and numerical reconstruction of a time and space-dependent conductivity for an inverse hyperbolic problem

DOI10.1007/978-3-319-94060-1_10zbMath1402.35268OpenAlexW2883809956MaRDI QIDQ1627528

Larisa Beilina, Michel Cristofol, Shumin Li

Publication date: 30 November 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-94060-1_10

zbMATH Keywords

inverse problemhyperbolic equationCarleman estimateinfinite domaintime and space-dependent coefficient

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Initial value problems for higher-order hyperbolic equations (35L30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Variational methods applied to problems in optics and electromagnetic theory (78M30) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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