Invariant measures for semilinear SPDE’s with local Lipschitz drift coefficients and applications |
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| Authors: | Abdelhadi Es-Sarhir Wilhelm Stannat |
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| Institution: | 1. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands
2. Technische Universit?t Darmstadt, Fachbereich Mathematik, Schloβgartenstraβe 7, D-64289, Darmstadt, Germany
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| Abstract: | We study existence and a priori estimates of invariant measures μ for SPDE with local Lipschitz drift coefficients. Furthermore, we discuss the corresponding parabolic Cauchy-problem in L
1(μ). Particular emphasis will be put on stochastic reaction diffusion equations.
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| Keywords: | 47D07 35K90 60H15 35R60 |
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