The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity

DOI10.1016/J.NA.2006.02.022zbMath1118.35074OpenAlexW2033153408MaRDI QIDQ875283

Hironobu Sasaki

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.022

zbMATH Keywords

nonlinear Schrödinger equationnonlinear Klein-Gordon equationgeneralized Hartree type nonlinearity

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse scattering problems in quantum theory (81U40)

Related Items (6)

The scattering map determines the nonlinearity ⋮ Analyticity of the scattering operator for semilinear dispersive equations ⋮ Recovery of a spatially-dependent coefficient from the NLS scattering map ⋮ Stability estimates for the recovery of the nonlinearity from scattering data ⋮ Inverse scattering problem for time dependent Hartree-Fock equations in the three-body case ⋮ Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly

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