00-129 J.-P. Eckmann, M. Hairer

Invariant Measures for Stochastic PDE's in Unbounded Domains (217K, Postscript) Mar 28, 00

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We study stochastically forced semilinear parabolic PDE's of the Ginzburg-Landau type. The class of forcings considered are white noises in time and colored smooth noises in space. Existence of the dynamics in $L^\infty$, as well as existence of an invariant measure are proven. We also show that the solutions are with high probability analytic in a strip around the real axis and give estimates on the width of that strip.

Files: 00-129.src( 00-129.keywords , export.ps )