Blowup for the Damped $L^{2}$-Critical Nonlinear Schr\"odinger Equation
Analysis of PDEs
2012-07-04 v3
Abstract
We consider the Cauchy problem for the -critical damped nonlinear Schr\"odinger equation. We prove existence and stability of finite time blowup dynamics with the log-log blow-up speed for .
Cite
@article{arxiv.1101.2763,
title = {Blowup for the Damped $L^{2}$-Critical Nonlinear Schr\"odinger Equation},
author = {Mohamad Darwich},
journal= {arXiv preprint arXiv:1101.2763},
year = {2012}
}