Function spaces with a random variable exponent (Q554864)
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scientific article; zbMATH DE number 5930725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Function spaces with a random variable exponent |
scientific article; zbMATH DE number 5930725 |
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Function spaces with a random variable exponent (English)
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22 July 2011
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Summary: The spaces with a random variable exponent \(L^{p(\omega)}(D \times \Omega)\) and \(W^{k, p(\omega)}(D \times \Omega)\) are introduced. After discussing the properties of the spaces \(L^{p(\omega)}(D \times \Omega)\) and \(W^{k, p(\omega)}(D \times \Omega)\), we give an application of these spaces to stochastic partial differential equations with random variable growth.
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