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29 March 2024
 
  » arxiv » nlin.CD/0003057

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Invariant Measures for Stochastic PDE's in Unbounded Domains
J.-P. Eckmann ; M. Hairer ;
Date 28 Mar 2000
Subject Chaotic Dynamics; Analysis of PDEs | nlin.CD math.AP
AbstractWe 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.
Source arXiv, nlin.CD/0003057
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