Time-dependent method for non-linear Schrödinger equations in inverse scattering problems

DOI10.1016/j.jmaa.2017.11.012zbMath1382.35280OpenAlexW2769563010MaRDI QIDQ1684803

Michiyuki Watanabe

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.012

zbMATH Keywords

scattering theoryinverse scattering problemsnon-linear Schrödinger equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (9)

The scattering map determines the nonlinearity ⋮ The direct and inverse scattering problem for the semilinear Schrödinger equation ⋮ Recovery of a spatially-dependent coefficient from the NLS scattering map ⋮ Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Stability estimates for the recovery of the nonlinearity from scattering data ⋮ Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation ⋮ On recovering the nonlinearity for generalized higher-order Schrödinger equations ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Time-dependent methods in inverse scattering problems for the Hartree-Fock equation

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