Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data

DOI10.1515/jip-2012-0033zbMath1273.35318arXiv1205.4438OpenAlexW2963370600MaRDI QIDQ2848387

Masahiro Yamamoto, Oleg Yurievich Imanuvilov

Publication date: 26 September 2013

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4438

zbMATH Keywords

semilinear elliptic equationDirichlet-to-Neumann mapCalderón problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Nonlinear elliptic equations (35J60)

Related Items

An inverse problem for a quasilinear convection-diffusion equation ⋮ Inverse medium scattering for a nonlinear Helmholtz equation ⋮ Uniqueness for inverse boundary value problems by Dirichlet-to-Neumann map on subboundaries ⋮ An inverse problem for a semi-linear elliptic equation in Riemannian geometries ⋮ Hölder stability for a semilinear elliptic inverse problem ⋮ Born and inverse Born series for scattering problems with Kerr nonlinearities ⋮ Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation ⋮ Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements ⋮ Determining a nonlinear hyperbolic system with unknown sources and nonlinearity ⋮ Partial data inverse problems for quasilinear conductivity equations ⋮ Inverse problems for elliptic equations with power type nonlinearities ⋮ SEMILINEAR CALDERÓN PROBLEM ON STEIN MANIFOLDS WITH KÄHLER METRIC ⋮ Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations ⋮ A remark on partial data inverse problems for semilinear elliptic equations ⋮ Stability estimate for a semilinear elliptic inverse problem ⋮ Lipschitz and Hölder stable determination of nonlinear terms for elliptic equations