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Invariant measures for stochastic evolution equations in M-type 2 Banach spaces

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Abstract

In this paper, we study invariant measures for stochastic evolution equations in M-type 2 Banach spaces. The existence and uniqueness of invariant measure in this general setting are established under global (or local) Lipschitz conditions and certain dissipativity conditions.

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Authors and Affiliations

  1. Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK

    Zdzisław Brzeźniak

  2. Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, 33431, USA

    Hongwei Long

  3. CMAF-Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal

    Isabel Simão

Authors
  1. Zdzisław Brzeźniak
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  2. Hongwei Long
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  3. Isabel Simão
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Correspondence to Hongwei Long.

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Brzeźniak, Z., Long, H. & Simão, I. Invariant measures for stochastic evolution equations in M-type 2 Banach spaces. J. Evol. Equ. 10, 785–810 (2010). https://doi.org/10.1007/s00028-010-0070-2

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  • DOI: https://doi.org/10.1007/s00028-010-0070-2

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