Parabolic oblique derivative problem in generalized Morrey spaces

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.

References in corpus (1)

• Generalized Morrey regularity for parabolic equations with discontinuity data

Cited by in corpus (3)

• Generalized Morrey regularity for parabolic equations with discontinuity data
• A thought on generalized Morrey spaces
• Boundedness criterion for sublinear operators and commutators on generalized mixed Morrey spaces