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Stochastic Burgers' equation

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Abstract

We consider a Burgers' equation perturbed by white noise. We prove the existence and uniqueness of the global solution as well as the existence of an invariant measure for the corresponding transition semigroup.

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Authors and Affiliations

  1. Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 6, 56126, Pisa, Italy

    Guiseppe Da Prato

  2. CNRS et Université Paris Sud, 91405, Orsay, France

    Arnaud Debussche

  3. Université Paris Sud, 91405, Orsay, France

    Roger Temam

Authors
  1. Guiseppe Da Prato
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  2. Arnaud Debussche
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  3. Roger Temam
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Da Prato, G., Debussche, A. & Temam, R. Stochastic Burgers' equation. NoDEA 1, 389–402 (1994). https://doi.org/10.1007/BF01194987

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  • DOI: https://doi.org/10.1007/BF01194987

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