Function spaces with a random variable exponent

Bochi Xu; Boping Tian; Yongqiang Fu

doi:10.1155/2011/179068

Function spaces with a random variable exponent

Bochi Xu^*
, Boping Tian
, Yongqiang Fu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The spaces with a random variable exponent L ^p(ω) (D×ω) and W^k,p(ω) (D×ω) are introduced. After discussing the properties of the spaces L^p(ω) (D×ω) and W^k,p(ω) (D×ω), we give an application of these spaces to the stochastic partial differential equations with random variable growth.

Original language	English
Article number	179068
Journal	Abstract and Applied Analysis
Volume	2011
DOIs	https://doi.org/10.1155/2011/179068
State	Published - 2011

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abstract = "The spaces with a random variable exponent L p(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.",

author = "Bochi Xu and Boping Tian and Yongqiang Fu",

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AU - Tian, Boping

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AB - The spaces with a random variable exponent L p(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.

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DO - 10.1155/2011/179068

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SN - 1085-3375

VL - 2011

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

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Function spaces with a random variable exponent

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