On changing variables in \(L^p\)-spaces with distributed-microstructure
DOI10.3103/S1066369X20030093zbMath1482.47042MaRDI QIDQ2191885
Nikita Evseev, A. V. Menovschikov
Publication date: 26 June 2020
Published in: Russian Mathematics (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Reaction-diffusion equations (35K57) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear composition operators (47B33) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
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- Micro-structure models of diffusion in fissured media
- Basics of the quasiconformal analysis of a two-index scale of spatial mappings
- Bounded operators on mixed norm Lebesgue spaces
- The composition operator on mixed-norm Lebesgue spaces
- Superposition operators in Sobolev spaces
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