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....
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| Format: | Article |
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/179068 |
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doaj-f4b026c319d745039211f5559c4ebbd92020-11-24T20:40:39ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/179068179068Function Spaces with a Random Variable ExponentBoping Tian0Yongqiang Fu1Bochi Xu2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe 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.http://dx.doi.org/10.1155/2011/179068 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Boping Tian Yongqiang Fu Bochi Xu |
| spellingShingle |
Boping Tian Yongqiang Fu Bochi Xu Function Spaces with a Random Variable Exponent Abstract and Applied Analysis |
| author_facet |
Boping Tian Yongqiang Fu Bochi Xu |
| author_sort |
Boping Tian |
| title |
Function Spaces with a Random Variable Exponent |
| title_short |
Function Spaces with a Random Variable Exponent |
| title_full |
Function Spaces with a Random Variable Exponent |
| title_fullStr |
Function Spaces with a Random Variable Exponent |
| title_full_unstemmed |
Function Spaces with a Random Variable Exponent |
| title_sort |
function spaces with a random variable exponent |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2011-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2011/179068 |
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AT bopingtian functionspaceswitharandomvariableexponent AT yongqiangfu functionspaceswitharandomvariableexponent AT bochixu functionspaceswitharandomvariableexponent |
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