Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations

Details Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations

2006-03-30

arxiv.org/abs/math/0603723v1

Mathematics

Analysis of PDEs

10 pages, Journal Article

Scientific paper

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 $\R^N$.

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