Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations
| dc.creator | Cao, Yanping | |
| dc.creator | Titi, Edriss S. | |
| dc.date | 2006-03-30 | |
| dc.date.accessioned | 2026-07-07T07:07:24Z | |
| dc.date.available | 2026-07-07T07:07:24Z | |
| dc.description | We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in $R$ and $R^2$ are the trivial constant solutions. We extend our technique and prove similar results to other nonlinear elliptic problems in $\R^N$. | |
| dc.description | 10 pages, Journal Article | |
| dc.identifier | https://arxiv.org/abs/math/0603723 | |
| dc.identifier | http://arxiv.org/abs/math/0603723 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110376 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35G30, 35J40, 35J60, 80A25, 80A32 | |
| dc.title | Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations | |
| dc.type | text |