Parabolic equations with VMO coefficients in generalized Morrey spaces

DOI10.1007/S10114-010-8127-2zbMath1191.35147OpenAlexW2095632392MaRDI QIDQ2266872

Jiang Zhou, Lin Zhang, Yin Sheng Jiang

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8127-2

zbMATH Keywords

oblique derivative problemvanishing mean oscillationsingular integrals and commutators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Analyticity in context of PDEs (35A20) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (5)

CONTINUITY OF THE BLOW-UP TIME IN A NONLINEAR PARABOLIC EQUATION WITH NONLINEAR MEMORY ⋮ Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces ⋮ Wavelet decomposition and embeddings of generalised Besov-Morrey spaces ⋮ A new smoothing and regularization Newton method for \(P_{0}\)-NCP ⋮ Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions

Cites Work

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• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• On \(BMO\) regularity for linear elliptic systems
• Oblique derivative problem for parabolic operators with VMO coefficients
• Functions of Vanishing Mean Oscillation
• W_p^1,2solvability for the cauchy-dirichlet problem for parabolic equations with vmo coefficients
• Quasilinear Elliptic Equations with VMO Coefficients
• Singular integrals with mixed homogeneity

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