A weighted \(L_p\)-theory for divergence type parabolic PDEs with BMO coefficients on \(C^1\)-domains

DOI10.1016/j.jmaa.2013.10.079zbMath1317.35125OpenAlexW1977601015MaRDI QIDQ2019143

Kyeong-Hun Kim, Kijung Lee, Ildoo Kim

Publication date: 27 March 2015

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.2013.10.079

zbMATH Keywords

weighted Sobolev spaces\(L^p\)-theoryVMO coefficientsBMO coefficientsparabolic equations of divergence type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Quasilinear parabolic equations (35K59)

Related Items (5)

Elliptic and parabolic equations with measurable coefficients in weighted Sobolev spaces ⋮ Neumann problem for non-divergence elliptic and parabolic equations with \(\mathrm{BMO}_x\) coefficients in weighted Sobolev spaces ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem ⋮ Parabolic systems with measurable coefficients in weighted Sobolev spaces ⋮ Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem

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