Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions

DOI10.1016/j.bulsci.2011.04.007zbMath1228.35271arXiv1012.4667OpenAlexW3099172912MaRDI QIDQ554225

Roman G. Novikov, Matteo Santacesaria

Publication date: 29 July 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4667

zbMATH Keywords

global uniqueness and reconstructionmulti-channel Gel'fand-Calderón inverse problem in 2Dnon-overdetermined inverse problems

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Inverse boundary problems for systems in two dimensions ⋮ Energy- and regularity-dependent stability estimates for near-field inverse scattering in multidimensions ⋮ Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries ⋮ Stability estimates for recovering the potential by the impedance boundary map ⋮ Towards bulk metric reconstruction from extremal area variations ⋮ Global stability for the multi-channel Gelfand-Calderón inverse problem in two dimensions ⋮ Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary ⋮ Reconstruction and stability for piecewise smooth potentials in the plane ⋮ The Neumann-to-Dirichlet map in two dimensions ⋮ Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials

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