A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains (Q1326301)
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scientific article; zbMATH DE number 569035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains |
scientific article; zbMATH DE number 569035 |
Statements
A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains (English)
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15 August 1994
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Stochastic partial differential equations in smooth domains are considered in functional spaces of Sobolev type. The spaces are defined with the help of certain weights, which allow the derivatives of functions from these spaces to blow up near the boundary. Existence and uniqueness theorems are obtained.
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stochastic evolutionary partial differential equations
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stochastic partial differential equations
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existence and uniqueness theorems
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