A weighted \(L_p\)-theory for second-order parabolic and elliptic partial differential systems on a half space

DOI10.3934/cpaa.2016.15.761zbMath1370.35167OpenAlexW2411588235MaRDI QIDQ256261

Kijung Lee, Kyeong-Hun Kim

Publication date: 9 March 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.761

zbMATH Keywords

weighted Sobolev spacesHardy-Littlewood theorem\(L_p\)-theoryelliptic partial differential systemsFefferman-Stein theoremparabolic partial differential systemssharp function estimates

Mathematics Subject Classification ID

Harmonic analysis and PDEs (42B37) Initial-boundary value problems for second-order parabolic systems (35K51) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Parabolic systems with measurable coefficients in weighted Sobolev spaces

Cites Work

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• Parabolic equations with measurable coefficients
• Theory of function spaces
• On a deterministic linear partial differential system
• A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains
• Parabolic equations with BMO coefficients in Lipschitz domains
• The Heat Equation inL_q((0,T),L_p)-Spaces with Weights
• $L^p-L^q$ ESTIMATES FOR PARABOLIC SYSTEMS IN NON-DIVERGENCE FORM WITH VMO COEFFICIENTS
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• A Sobolev Space Theory of SPDE with Constant Coefficients on a Half Line
• Weighted sobolev spaces and laplace's equation and the heat equations in a half space
• W_p^1,2solvability for the cauchy-dirichlet problem for parabolic equations with vmo coefficients
• A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
• Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
• Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces

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