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Invariant measures for semilinear SPDE’s with local Lipschitz drift coefficients and applications

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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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Authors and Affiliations

  1. Mathematical Institute, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands

    Abdelhadi Es-Sarhir

  2. Technische Universität Darmstadt, Fachbereich Mathematik, Schloβgartenstraβe 7, D-64289, Darmstadt, Germany

    Wilhelm Stannat

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  1. Abdelhadi Es-Sarhir
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  2. Wilhelm Stannat
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Correspondence to Abdelhadi Es-Sarhir.

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Es-Sarhir, A., Stannat, W. Invariant measures for semilinear SPDE’s with local Lipschitz drift coefficients and applications. J. evol. equ. 8, 129–154 (2008). https://doi.org/10.1007/s00028-007-0354-3

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  • DOI: https://doi.org/10.1007/s00028-007-0354-3

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