On a random scaled porous media equation (Q719227)
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scientific article; zbMATH DE number 5955721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a random scaled porous media equation |
scientific article; zbMATH DE number 5955721 |
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On a random scaled porous media equation (English)
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10 October 2011
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The authors consider a deterministic nonlinear partial differential equation with random coefficients, which is a result of a random transformation of a stochastic porous media equation. It is shown that this transformed equation is well-posed in \(L^{\infty}\), and in the fast diffusion case existence in \(L^{p}\) is proven as well.
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stochastic porous media equation
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Wiener process
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Dirichlet problem
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