Function Spaces with a Random Variable Exponent

Boping Tian, Yongqiang Fu and Bochi Xu

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: The spaces with a random variable exponent Lp(ω)(D × Ω) and Wk,p(ω)(D × Ω) are introduced. After discussing the properties of the spaces Lp(ω)(D × Ω) and Wk,p(ω)(D × Ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.

Date: 2011
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https://doi.org/10.1155/2011/179068

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:179068

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