AN INVERSE BOUNDARY VALUE PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS

DOI10.1081/PDE-120016164zbMath1013.35084OpenAlexW2022418438MaRDI QIDQ4796788

Ziqi Sun, David Hervas

Publication date: 24 June 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120016164

zbMATH Keywords

Dirichlet-Neumann mapsdetermination of the conductivitylocal uniqueness resultsquasilinear elliptic equations in divergence form in \({\mathbb R}^2\)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Inverse problems for PDEs (35R30)

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Cites Work

• A global uniqueness theorem for an inverse boundary value problem
• Riemann's mapping theorem for variable metrics
• On uniqueness in inverse problems for semilinear parabolic equations
• Global uniqueness for a two-dimensional inverse boundary value problem
• On a quasilinear inverse boundary value problem
• Uniqueness of recovery of some systems of semilinear partial differential equations
• Determining anisotropic real-analytic conductivities by boundary measurements
• An anisotropic inverse boundary value problem
• A uniqueness theorem for an inverse boundary value problem in electrical prospection
• Global uniqueness for a semilinear elliptic inverse problem
• Inverse problems in quasilinear anisotropic media
• Global Uniqueness for a Two-Dimensional Semilinear Elliptic Inverse Problem