Generalized Morrey Regularity for Parabolic Equations with Discontinuous Data
DOI10.1017/S0013091513000758zbMath1325.35075arXiv1210.6566MaRDI QIDQ5173087
Lubomira G. Softova, Vagif S. Guliyev
Publication date: 6 February 2015
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.6566
BMOsublinear operatorsCauchy-Dirichlet problemVMOgeneralized Morrey spacesCalderón-Zygmund integrals
Smoothness and regularity of solutions to PDEs (35B65) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Linear operators on function spaces (general) (47B38) Strong solutions to PDEs (35D35)
Related Items (18)
Cites Work
- Unnamed Item
- Boundedness of sublinear operators and commutators on generalized Morrey spaces
- Parabolic oblique derivative problem with discontinuous coefficients in generalized Morrey spaces
- Morrey-type regularity of solutions to parabolic problems with discontinuous data
- Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
- On \(BMO\) regularity for linear elliptic systems
- Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs
- Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients
- Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE's
- Singular integrals and commutators in generalized Morrey spaces
- On functions of bounded mean oscillation
- The Campanato, Morrey and Hölder spaces on spaces of homogeneous type
- Wp1,2solvability for the cauchy-dirichlet problem for parabolic equations with vmo coefficients
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
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