Function Spaces with a Random Variable Exponent
Boping Tian, Yongqiang Fu, Bochi Xu · Abstract and Applied Analysis · 2011
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.