Nonlinear decay and scattering of solutions to a Bretherton equation in several space dimensions

We consider a Cauchy problem for the $n$-dimensional Bretherton equation. We establish the existence of a global solution and study its long-time behavior, with small data. This is done using the oscillatory integral techniques considered in [5].

Bibliographic Details
Main Author: Akmel De Godefroy
Format: Article
Language:English
Published: Texas State University 2005-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/141/abstr.html