Parabolic equations with VMO coefficients in Morrey spaces

Abstract

Global regularity in Morrey spaces is derived for the regular oblique derivative for linear uniformly parabolic operators. The principal coefficients of the operator are supposed to be discontinuous, belonging to Sarason's class of functions with vanishing mean oscillation (VMO).

Keywords

• Uniformly parabolic operator
• regular oblique derivative
• VMO
• Morrey spaces
• singular integrals and commutators
• parabolic Calderon-Zygmund kernel