A uniqueness theorem and reconstruction of singularities for a two-dimensional nonlinear Schrödinger equation

DOI10.1088/0951-7715/21/6/010zbMath1155.35494OpenAlexW2023035199MaRDI QIDQ3507966

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Publication date: 24 June 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/21/6/010

zbMATH Keywords

Schrödinger equationinverse scattering probleminverse Born approximation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40)

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Inverse medium scattering for a nonlinear Helmholtz equation ⋮ Scattering problems for perturbations of the multidimensional biharmonic operator ⋮ The direct and inverse scattering problem for the semilinear Schrödinger equation ⋮ Increasing stability in the inverse scattering problem for a nonlinear Schrödinger equation with multiple frequencies ⋮ Born approximation for the magnetic Schrödinger operator ⋮ The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations ⋮ Direct and inverse scattering for nonlinear Schrödinger equation in 2D

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