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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 | 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. | Source: | arXiv, nlin.CD/0003057 | Services: | Forum | Review | PDF | Favorites |
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