Function Spaces with a Random Variable Exponent
Copyright policy )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.
- Harbin Institute of Technology China (People's Republic of)
Stochastic partial differential equations (aspects of stochastic analysis), QA1-939, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Stochastic partial differential equations (aspects of stochastic analysis), QA1-939, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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