Function Spaces with a Random Variable Exponent

Boping Tian, Yongqiang Fu and Bochi Xu

Abstract and Applied Analysis, 2011, vol. 2011, 1-12

Abstract:

The spaces with a random variable exponent ð ¿ ð ‘ ( 𠜔 ) ( ð · Ã— Ω ) and ð ‘Š 𠑘 , ð ‘ ( 𠜔 ) ( ð · Ã— Ω ) are introduced. After discussing the properties of the spaces ð ¿ ð ‘ ( 𠜔 ) ( ð · Ã— Ω ) and ð ‘Š 𠑘 , ð ‘ ( 𠜔 ) ( ð · Ã— Ω ) , we give an application of these spaces to the stochastic partial differential equations with random variable growth.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:179068

DOI: 10.1155/2011/179068

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