Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator
Analysis of PDEs
2009-11-11 v3
Abstract
The Schroedinger equation with the nonlinearity concentrated at a single point proves to be an interesting and important model for the analysis of long-time behavior of solutions, such as the asymptotic stability of solitary waves and properties of weak global attractors. In this note, we prove global well-posedness of this system in the energy space .
Keywords
Cite
@article{arxiv.math/0608780,
title = {Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator},
author = {Alexander Komech and Andrew Komech},
journal= {arXiv preprint arXiv:math/0608780},
year = {2009}
}
Comments
11 pages