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arXiv · 1301.0388

Parabolic oblique derivative problem in generalized Morrey spaces

Lubomira Softova
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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. 2013-01-03. Parabolic oblique derivative problem in generalized Morrey spaces. https://doi.org/10.1007/s11587-013-0147-7

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