Parabolic oblique derivative problem in generalized Morrey spaces

2013/01/03 by Softova, Lubomira
#35B45 #35D35 #35K20 #35R05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1301.0388

Abstract

We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the strong solution belongs to the corresponding generalized Sobolev-Morrey space.

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