On \(t\)-local solvability of inverse scattering problems in two-dimensional layered media

DOI10.1134/S0965542515060032zbMath1325.35273MaRDI QIDQ498591

Yong-Cai Geng, Sumit K. Garg

Publication date: 29 September 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodKlein-Gordon equationunique solvabilityinverse scattering problemsDirac systemtime-local formulation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Solution of the inverse seismic problem in a layered elastic medium by means of the \(\tau\)-\(p\) Radon transform ⋮ Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media ⋮ Radon transform for solving an inverse scattering problem in a planar layered acoustic medium

Cites Work

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• On local solvability of inverse scattering problems for the Klein-Gordon equation and the Dirac system
• Solving the inverse generalized problem of vertical seismic profiling
• On local solvability of inverse dissipative scattering problems
• Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand–Levitan–Krein equation
• On the solution of an inverse problem for the wave equation with the help of a regularizing algorithm
• A method of solving the inverse scattering problem for the wave equation
• Boundary control and Gel'fand–Levitan–Krein methods in inverse acoustic problem
• Identification of a dissipation coefficient by a variational method

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