Inverse scattering of the nonlinear Schrödinger equation with cubic convolution nonlinearity

DOI10.3836/tjm/1255958311zbMath1005.35093OpenAlexW2064299410MaRDI QIDQ5946891

Michiyuki Watanabe

Publication date: 19 February 2003

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1255958311

zbMATH Keywords

potentialuniquenessnonlinear Schrödinger equationscattering operator

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 (10)

The scattering map determines the nonlinearity ⋮ The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity ⋮ 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 for the Nonlinear Schrödinger Equation with the Yukawa Potential ⋮ Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Time-dependent methods in inverse scattering problems for the Hartree-Fock equation ⋮ Uniqueness in the inverse scattering problem for Hartree type equation

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