Inverse backscattering problem for the generalized nonlinear Schrödinger operator in two dimensions

DOI10.1088/1751-8113/43/32/325206zbMath1197.35330OpenAlexW2033823058MaRDI QIDQ3583352

Jan Sandhu, Valery Serov

Publication date: 27 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/32/325206

zbMATH Keywords

inverse problemSchrödinger equationBorn approximation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Inverse fixed energy scattering problem for the two-dimensional nonlinear Schrödinger operator ⋮ Inverse medium scattering for a nonlinear Helmholtz equation ⋮ Reconstruction of singularities in two-dimensional quasi-linear biharmonic operator ⋮ Inverse backscattering problem for perturbations of biharmonic operator ⋮ Born approximation for the magnetic Schrödinger operator ⋮ Inverse backscattering Born approximation for the magnetic Schrödinger equation in three dimensions ⋮ Direct and inverse scattering for nonlinear Schrödinger equation in 2D

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