Long-range scattering for nonlinear Schrödinger equations in one and two space dimensions.

zbMath1164.35325MaRDI QIDQ873214

Akihiro Shimomura, Satoshi Tonegawa

Publication date: 29 March 2007

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

global solutionnonlinear Schrödinger equationscattering theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (15)

Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions ⋮ Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity ⋮ Nonlinear Schrödinger equations with exceptional potentials ⋮ Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity ⋮ Modified scattering for the critical nonlinear Schrödinger equation ⋮ Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions ⋮ Global solutions for 2D quadratic Schrödinger equations ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Stability of the self-similar dynamics of a vortex filament ⋮ Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions ⋮ Final state problem for the nonlocal nonlinear Schrödinger equation with dissipative nonlinearity ⋮ Spatial behavior for NLS and applications to scattering ⋮ Modified scattering for the mixed initial-boundary problem for the nonlinear Klein–Gordon equation ⋮ Wave operators to a quadratic nonlinear Klein-Gordon equation in two space dimensions ⋮ Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities

This page was built for publication: Long-range scattering for nonlinear Schrödinger equations in one and two space dimensions.