Gradient estimates for parabolic equations in generalized weighted Morrey spaces

DOI10.1007/S10114-016-5530-3zbMath1348.35096OpenAlexW2471249016MaRDI QIDQ326968

Shamsiyya Muradova, Vagif S. Guliyev, Mehriban N. Omarova, Lubomira G. Softova

Publication date: 13 October 2016

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

Full work available at URL: https://doi.org/10.1007/s10114-016-5530-3

zbMATH Keywords

BMOparabolic equationsCauchy-Dirichlet problemgradient estimatesmeasurable coefficientsgeneralized weighted Morrey spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10)

Related Items (7)

Estimates for operators on generalized weighted Orlicz-Morrey spaces and their applications to non-divergence elliptic equations ⋮ Weighted local Morrey spaces ⋮ Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces ⋮ Unnamed Item ⋮ Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups ⋮ Regularity estimates in weighted Morrey spaces for quasilinear elliptic equations ⋮ Embedding of vector-valued Morrey spaces and separable differential operators

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