Global well-posedness for cubic NLS with nonlinear damping
Analysis of PDEs
2009-11-24 v4 Mathematical Physics
math.MP
Abstract
We study the Cauchy problem for the cubic nonlinear Schroedinger equation, perturbed by (higher order) dissipative nonlinearities. We prove global in-time existence of solutions for general initial data in the energy space. In particular we treat the energy-critical case of a quintic dissipation in three space dimensions.
Keywords
Cite
@article{arxiv.0905.3000,
title = {Global well-posedness for cubic NLS with nonlinear damping},
author = {Paolo Antonelli and Christof Sparber},
journal= {arXiv preprint arXiv:0905.3000},
year = {2009}
}
Comments
minor modifications, more details given