Nonlinear damped Schrodinger equation in two space dimensions

In this article, we study the initial value problem for a semi-linear damped Schrodinger equation with exponential growth nonlinearity in two space dimensions. We show global well-posedness and exponential decay.

Bibliographic Details
Main Author: Tarek Saanouni
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/121/abstr.html