Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in and are the trivial constant solutions. We extend our technique and prove similar results to other nonlinear elliptic problems in .
Keywords
Cite
@article{arxiv.math/0603723,
title = {Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations},
author = {Yanping Cao and Edriss S. Titi},
journal= {arXiv preprint arXiv:math/0603723},
year = {2007}
}
Comments
10 pages, Journal Article