Name: On parabolic equations in Morrey spaces with VMO a and Morrey b,c
Creator: Krylov, N. V.
Keywords: Mathematics - Analysis of PDEs, Second-order parabolic equations, FOS: Mathematics, parabolic equations, Singular parabolic equations, Morrey spaces, 35K10, 35K67, singular coefficients, Analysis of PDEs (math.AP)

On parabolic equations in Morrey spaces with VMO $a$ and Morrey $b$, $c$

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 19 Nov 2024Embargo end date: 01 Jan 2023 English Publisher:Springer Science and Business Media LLCJournal:Nonlinear Differential Equations and Applications NoDEA, volume 32 (issn: 1021-9722, eissn: 1420-9004,

Authors: Krylov, N. V.;

doi: 10.1007/s00030-024-01013-7 , 10.48550/arxiv.2304.03736

arXiv: 2304.03736

On parabolic equations in Morrey spaces with VMO a and Morrey b,c

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Abstract

We prove existence and uniqueness of solutions in Morrey spaces of functions with mixed norms for second-oder parabolic equations in the whole space with VMO $a$ and Morrey $b,c$.

19 pages, some extensions of results added

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Keywords

Mathematics - Analysis of PDEs, Second-order parabolic equations, FOS: Mathematics, parabolic equations, Singular parabolic equations, Morrey spaces, 35K10, 35K67, singular coefficients, Analysis of PDEs (math.AP)

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