A note on the existence of extension operators for Sobolev spaces on periodic domains

DOI10.1016/j.crma.2014.09.002zbMath1307.47094OpenAlexW1967809206MaRDI QIDQ467688

J. Herrera, Sumit K. Garg

Publication date: 4 November 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.09.002

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Flows in porous media; filtration; seepage (76S05) Applications of operator theory to differential and integral equations (47N20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (7)

Homogenization of Richards' equations in multiscale porous media with soft inclusions ⋮ Homogenization theory of ion transportation in multicellular tissue ⋮ Stochastic homogenization on perforated domains. I: Extension operators ⋮ Multiscale analysis of a carcinogenesis model ⋮ Corrector Estimates for a Thermodiffusion Model with Weak Thermal Coupling ⋮ Upscaling of a parabolic system with a large nonlinear surface reaction term ⋮ Homogenization results for a coupled system of reaction-diffusion equations

Cites Work

• Homogenization results for enzyme catalyzed reactions through porous media
• Introduction to modelling of transport phenomena in porous media
• Extension theorems for homogenization on lattice structures
• Homogenization of reticulated structures
• An extension theorem in SBV and an application to the homogenization of the Mumford-Shah functional in perforated domains
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization of a composite medium with a thermal barrier

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