Invariant measures and the Kolmogorov equation for the stochastic fast diffusion equation (Q981025)
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scientific article; zbMATH DE number 5732050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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