The Calderón problem for quasilinear elliptic equations

DOI10.1016/j.anihpc.2020.03.004zbMath1457.35093arXiv1806.09586OpenAlexW3003914846MaRDI QIDQ2214924

Gunther Uhlmann, Claudio Muñoz

Publication date: 10 December 2020

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09586

zbMATH Keywords

linearizationanalytic continuationDirichlet-to-Neumann map

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• A global uniqueness theorem for an inverse boundary value problem
• Reconstructions from boundary measurements
• On uniqueness in inverse problems for semilinear parabolic equations
• On a quasilinear inverse boundary value problem
• Calderón's inverse conductivity problem in the plane
• Electrical impedance tomography and Calderón's problem
• A uniqueness theorem for an inverse boundary value problem in electrical prospection
• Inverse problems in quasilinear anisotropic media
• AN INVERSE BOUNDARY VALUE PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS
• Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

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