On an inverse boundary value problem for a nonlinear time-harmonic Maxwell system

DOI10.1515/jiip-2020-0071zbMath1491.35450arXiv1804.09586OpenAlexW3129894355MaRDI QIDQ2671511

Cătălin I. Cârstea

Publication date: 3 June 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09586

zbMATH Keywords

inverse problemsnonlinear elliptic equationsMaxwell systemKerr-type nonlinearityhigher order linearization approach

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Inverse problems for PDEs (35R30) Maxwell equations (35Q61) Boundary value problems for systems of nonlinear first-order PDEs (35F60)

Related Items (3)

An Inverse Problem for the Porous Medium Equation with Partial Data and a Possibly Singular Absorption Term ⋮ Increasing stability of a linearized inverse boundary value problem for a nonlinear Schrödinger equation on transversally anisotropic manifolds ⋮ The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds

Cites Work

• Inverse problems for the anisotropic Maxwell equations
• A global uniqueness theorem for an inverse boundary value problem
• Reconstructing electromagnetic obstacles by the enclosure method
• Self-trapping of an electromagnetic field and bifurcation from the essential spectrum
• The uniqueness of a solution to an inverse scattering problem for electromagnetic waves
• An inverse boundary value problem for Maxwell's equations
• On uniqueness in inverse problems for semilinear parabolic equations
• An inverse boundary value problem in electrodynamics
• Inverse problems for semilinear wave equations on Lorentzian manifolds
• Inverse boundary value problems for a class of semilinear elliptic equations
• On a quasilinear inverse boundary value problem
• An inverse problem for a semi-linear elliptic equation in Riemannian geometries
• Inverse problems for elliptic equations with power type nonlinearities
• Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
• Uniqueness of recovery of some systems of semilinear partial differential equations
• UNIQUENESS OF RECOVERY OF SOME QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS
• Stable determination of the electromagnetic coefficients by boundary measurements
• Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map
• Inverse Boundary Value Problem for Maxwell Equations with Local Data
• Global uniqueness for a semilinear elliptic inverse problem
• Inverse problems in quasilinear anisotropic media
• AN INVERSE BOUNDARY VALUE PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS
• Global Uniqueness for a Two-Dimensional Semilinear Elliptic Inverse Problem
• Electromagnetic Inverse Problems and Generalized Sommerfeld Potentials
• A remark on partial data inverse problems for semilinear elliptic equations

This page was built for publication: On an inverse boundary value problem for a nonlinear time-harmonic Maxwell system