Trivial stationary solutions to the Kuramoto–Sivashinsky and certain nonlinear elliptic equations Academic Article uri icon

abstract

  • 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 . © 2006 Elsevier Inc. All rights reserved.

author list (cited authors)

  • Cao, Y., & Titi, E. S.

citation count

  • 15

publication date

  • December 2006