Conormal problem of higher-order parabolic systems with time irregular coefficients

DOI10.1090/tran/6605zbMath1334.35090arXiv1401.7938OpenAlexW2214824217MaRDI QIDQ2796097

Hong Zhang, Hongjie Dong

Publication date: 23 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7938

zbMATH Keywords

\(L^p\)-estimatesVMOSchauder estimatesparabolic systemtime irregular coefficientsconormal problem

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Initial-boundary value problems for higher-order parabolic systems (35K52) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (6)

Neumann problem for non-divergence elliptic and parabolic equations with \(\mathrm{BMO}_x\) coefficients in weighted Sobolev spaces ⋮ Convergence rates in homogenization of higher-order parabolic systems ⋮ Regularity of solutions to quasilinear parabolic systems with time-nonsmooth principal matrix and the Neumann boundary condition ⋮ Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices ⋮ Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains ⋮ On conormal derivative problem for parabolic equations with Dini mean oscillation coefficients

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