Global attractor for weakly damped Nonlinear Schr\"odinger equations in $L^2(\R)$
Analysis of PDEs
2009-10-02 v1
Abstract
We prove that the weakly damped nonlinear Schr\"odinger flow in provides a dynamical system which possesses a global attractor. The proof relies on the continuity of the Schr\"odinger flow for the weak topology in .
Keywords
Cite
@article{arxiv.0910.0172,
title = {Global attractor for weakly damped Nonlinear Schr\"odinger equations in $L^2(\R)$},
author = {Olivier Goubet and Luc Molinet},
journal= {arXiv preprint arXiv:0910.0172},
year = {2009}
}