Function Spaces with a Random Variable Exponent
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....
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2011-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/179068 |
Summary: | 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. |
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ISSN: | 1085-3375 1687-0409 |