Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation (Q981025)

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scientific article; zbMATH DE number 5732050
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Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation
scientific article; zbMATH DE number 5732050

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    Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation (English)
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    8 July 2010
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    The authors deal with the transition semigroup associated with the fast diffusion equation in a bounded domain of \(\mathbb{R}^d\), perturbed by a Gaussian noise and prove the existence of an invariant measure. They also study the Kolmogorov infinitesimal generator and study the respective Sobolev space.
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    fast diffusion equation
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    invariant measure
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    Kolmogorov equations
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    Sobolev space
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