Partial Cauchy data for general second order elliptic operators in two dimensions

DOI10.2977/PRIMS/94zbMath1260.35253arXiv1010.5791OpenAlexW2132147779MaRDI QIDQ1932218

Gunther Uhlmann, Masahiro Yamamoto, Oleg Yurievich Imanuvilov

Publication date: 17 January 2013

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5791

zbMATH Keywords

uniquenessinverse boundary value problemmagnetic Schrödinger equationcomplex geometrical optics solutionconvection equationinverse anisotropic conductivity problempartial Cauchy datatwo-dimensional elliptic operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30)

Related Items (16)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Inverse boundary problems for systems in two dimensions ⋮ The reflection principle and Calderón problems with partial data ⋮ Stability for a magnetic Schrödinger operator on a Riemann surface with boundary ⋮ Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries ⋮ Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends ⋮ Unique recovery of lower order coefficients for hyperbolic equations from data on disjoint sets ⋮ Inverse scattering for Dirac operators on surfaces with Euclidean ends ⋮ RECOVERY OF NON-COMPACTLY SUPPORTED COEFFICIENTS OF ELLIPTIC EQUATIONS ON AN INFINITE WAVEGUIDE ⋮ Inverse problems for elliptic equations with power type nonlinearities ⋮ Identification of a connection from Cauchy data on a Riemann surface with boundary ⋮ Inverse problems: seeing the unseen ⋮ Stability for determination of Riemannian metrics by spectral data and Dirichlet-to-Neumann map limited on arbitrary subboundary ⋮ An inverse problem for the non-linear fractional magnetic Schrödinger equation ⋮ 30 years of Calderón's problem ⋮ The Neumann-to-Dirichlet map in two dimensions

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