Partial data inverse problems for quasilinear conductivity equations

DOI10.1007/S00208-022-02367-YOpenAlexW3094515757WikidataQ114231113 ScholiaQ114231113MaRDI QIDQ2696240

Gunther Uhlmann, Katya Krupchyk, Yavar Kian

Publication date: 11 April 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11409

zbMATH Keywords

Dirichlet-to-Neumann maps on boundary parts

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Quasilinear elliptic equations (35J62)

Related Items (12)

An Inverse Problem for the Porous Medium Equation with Partial Data and a Possibly Singular Absorption Term ⋮ Simultaneous recoveries for semilinear parabolic systems ⋮ Hölder stability for a semilinear elliptic inverse problem ⋮ A uniqueness theorem for inverse problems in quasilinear anisotropic media. II ⋮ Recovery of nonlinear terms for reaction diffusion equations from boundary measurements ⋮ Stability estimates for an inverse problem for Schrödinger operators at high frequencies from arbitrary partial boundary measurements ⋮ On determining and breaking the gauge class in inverse problems for reaction-diffusion equations ⋮ Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements ⋮ An inverse problem for the Riemannian minimal surface equation ⋮ Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds ⋮ Lipschitz stability of recovering the conductivity from internal current densities ⋮ Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations

Cites Work

• Unnamed Item
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• A global uniqueness theorem for an inverse boundary value problem
• Functional analysis and partial differential equations. II
• On the linearized local Calderón problem
• Functional analysis, Sobolev spaces and partial differential equations
• Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds
• The boundary problems of physical geodesy
• Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
• Inverse boundary value problems for a class of semilinear elliptic equations
• Global uniqueness for a two-dimensional inverse boundary value problem
• On a quasilinear inverse boundary value problem
• Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities
• Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
• An inverse problem for a semi-linear elliptic equation in Riemannian geometries
• The Calderón problem for quasilinear elliptic equations
• Inverse problems for elliptic equations with power type nonlinearities
• The Calderón inverse problem for isotropic quasilinear conductivities
• Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
• An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
• UNIQUENESS OF RECOVERY OF SOME QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS
• Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data
• Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
• Exact solution to a nonlinear heat conduction problem in doubly periodic 2D composite materials
• Distributions and Operators
• The Calderón problem with partial data in two dimensions
• Global uniqueness for a semilinear elliptic inverse problem
• Inverse problems in quasilinear anisotropic media
• Nonlinear electrical conductivity in heterogeneous media
• Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
• The Laplace Equation
• AN INVERSE BOUNDARY VALUE PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS
• Global Uniqueness for a Two-Dimensional Semilinear Elliptic Inverse Problem
• Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
• A remark on partial data inverse problems for semilinear elliptic equations

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