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Ergodic Properties of Reaction-diffusion Equations Perturbed by a Degenerate Multiplicative Noise

  • Sandra Cerrai
Part of the Operator Theory: Advances and Applications book series (OT, volume 168)

Abstract

We extend to a more general class of diffusion coefficients the results proved in the previous work [6] on uniqueness, ergodicity and strongly mixing property of the invariant measure for some stochastic reaction-diffusion equations, in which the diffusion term is possibly vanishing and the deterministic part is not asymptotically stable. We obtain our results by random time changes and some comparison arguments with Bessel processes.

Keywords

Invariant measures ergodicity Bessel process random time change 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Sandra Cerrai
    • 1
  1. 1.Dip. di Matematica per le DecisioniUniversità di FirenzeFirenzeItaly

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