Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations

被引：14

作者：

Cao, Yanping

Titi, Edriss S. ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Univ Calif Irvine, Dept Mech & Aerosp Engn, Irvine, CA 92697 USA

[3] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[4] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 231卷 / 02期

基金：

美国国家科学基金会;

关键词：

Kuramoto-Sivashinsky equation;

D O I：

10.1016/j.jde.2006.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：755 / 767

页数：13

共 27 条

[1] Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations [J].