Energy Scattering for Schrödinger Equation with Exponential Nonlinearity in Two Dimensions

When the spatial dimensions n=2, the initial data u0∈H1, and the Hamiltonian H(u0)≤1, we prove that the scattering operator is well defined in the whole energy space H1(ℝ2) for nonlinear Schrödinger equation with exponential nonlinearity (eλ|u|2-1)u, where 0

Saved in:
Bibliographic Details
Published in:Journal of function spaces 2013-01, Vol.2013 (2013), p.1-13
Main Author: Wang, Shuxia
Format: Article
Language:English
Subjects:
Function space
Nonlinearity
Operators
Scattering
Schroedinger equation
Two dimensional
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:When the spatial dimensions n=2, the initial data u0∈H1, and the Hamiltonian H(u0)≤1, we prove that the scattering operator is well defined in the whole energy space H1(ℝ2) for nonlinear Schrödinger equation with exponential nonlinearity (eλ|u|2-1)u, where 0
ISSN:2314-8896
0972-6802
2314-8888
1758-4965
DOI:10.1155/2013/968603