\(W\)-Sobolev spaces

DOI10.1016/j.jmaa.2011.04.043zbMath1221.35017OpenAlexW1975112826MaRDI QIDQ549752

Fábio Júlio Valentim, Alexandre B. Simas

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.043

zbMATH Keywords

compact embeddingPoincaré inequalitystochastic homogenization

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Homogenization of generalized second-order elliptic difference operators ⋮ Hydrodynamic limit of a \(d\)-dimensional exclusion process with conductances ⋮ \(W\)-Sobolev spaces: higher order and regularity

Cites Work

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• Hydrodynamic limit of gradient exclusion processes with conductances
• Equilibrium fluctuations for exclusion processes with conductances in random environments
• Applied functional analysis. Applications to mathematical physics. Vol. 1
• \(W\)-Sobolev spaces: higher order and regularity
• Hydrodynamic limit of a \(d\)-dimensional exclusion process with conductances
• The parabolic differential equations and the associated semigroups of transformation
• Homogenization of Elliptic Difference Operators
• Elementary Solutions for Certain Parabolic Partial Differential Equations
• Generalized Second Order Differential Operators

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