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Invariant measure for the stochastic Ginzburg Landau equation

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

The existence of martingale solutions and stationary solutions of stochastic Ginzburg-Landau equations under general hypothesizes on the dimension, the non linear term and the added noise is investigated. With a few more assumptions, it is established that the transition semi-group is well defined and that the stationary martingale solution yields the existence of an invariant measure. Moreover this invariant measure is shown to be unique.

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  1. Laboratoire d’Analyse Numérique et EDP d’Orsay, Université Paris-Sud, Batiment 425, 91405, Orsay Cedex, France

    Marc Barton-Smith

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  1. Marc Barton-Smith
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Correspondence to Marc Barton-Smith.

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Barton-Smith, M. Invariant measure for the stochastic Ginzburg Landau equation. NoDEA 11, 29–52 (2004). https://doi.org/10.1007/s00030-003-1040-y

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  • DOI: https://doi.org/10.1007/s00030-003-1040-y

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