Parabolic equations with variably partially VMO coefficients

DOI10.1090/S1061-0022-2012-01206-9zbMath1252.35149arXiv0811.4124MaRDI QIDQ2892182

Hongjie Dong

Publication date: 18 June 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4124

zbMATH Keywords

Sobolev spacesnondivergence formvanishing mean oscillation\( W^{1,2}_{p}\)-solvability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with low regular coefficients and/or low regular data (35R05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15)

Related Items

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, Uniformly nondegenerate elliptic equations with partially BMO coefficients in nonsmooth domains, Hessian estimates for non-divergence form elliptic equations arising from composite materials, Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains, On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights, Weighted Lorentz estimates for nondivergence linear elliptic equations with partially BMO coefficients

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