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

[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.

[发布日期] 2006-12-15

[关键词] Kuramoto-Sivashinsky equation