Parabolic oblique derivative problem in generalized Morrey spaces

Published 3 Jan 2013 in math.AP | (1301.0388v1)

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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Lubomira Softova

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