Inverse fixed angle scattering and backscattering for a nonlinear Schrödinger equation in 2D

DOI10.3934/IPI.2013.7.183zbMath1267.35147OpenAlexW2317192089MaRDI QIDQ1951302

Markus Harju, Valery Serov, Georgios Fotopoulos

Publication date: 5 June 2013

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2013.7.183

zbMATH Keywords

inverse problemSchrödinger operatornonlinearitybackscatteringBorn approximationfixed angle

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Inverse fixed energy scattering problem for the two-dimensional nonlinear Schrödinger operator ⋮ Inverse scattering for three-dimensional quasi-linear biharmonic operator ⋮ Reconstruction of singularities in two-dimensional quasi-linear biharmonic operator ⋮ Inverse backscattering problem for perturbations of biharmonic operator ⋮ Inverse scattering with fixed observation angle data in 2D ⋮ Two-dimensional inverse scattering for quasi-linear biharmonic operator ⋮ Numerical results for Saito’s uniqueness theorem in inverse scattering theory

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