Inverse scattering problem in anisotropic media

DOI10.1007/s002200050509zbMath0952.35085OpenAlexW2084541898MaRDI QIDQ1300451

Gregory Eskin

Publication date: 4 January 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050509

zbMATH Keywords

inverse scatteringLaplace-Beltrami equationhodograph problemscattering invariants

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Scattering theory of linear operators (47A40)

Related Items (10)

Uniqueness and nonuniqueness in inverse problems for elliptic partial differential equations and related medical imaging ⋮ Stability estimates for the \(X\)-ray transform of tensor fields and boundary rigidity ⋮ Uniqueness, Born approximation, and numerical methods for diffuse optical tomography ⋮ Stability for the Lens rigidity problem ⋮ The boundary rigidity problem in the presence of a magnetic field ⋮ THE INVERSE SCATTERING PROBLEM IN TWO DIMENSIONS AT FIXED ENERGY^* ⋮ Stable Determination of a Simple Metric, a Covector Field and a Potential from the Hyperbolic Dirichlet-to-Neumann Map ⋮ Support theorems and an injectivity result for integral moments of a symmetric \(m\)-tensor field ⋮ Linearizing non-linear inverse problems and an application to inverse backscattering ⋮ Stable recovery of a metric tensor from the partial hyperbolic Dirichlet to Neumann map

This page was built for publication: Inverse scattering problem in anisotropic media