Special Session 149: 

Parabolic equations on Morrey spaces with mixed norm

Andrea Scapellato
University of Catania
Italy
Co-Author(s):    
Abstract:
Aim of the talk is to show some regularity results for solutions to linear partial differential equations of parabolic type in the framework of Morrey spaces with mixed norm. We use several estimates for some integral operators that appear in the representation formula both for the second order spatial derivatives and first order time derivative of a solution. It is worth pointing out that the coefficients of the principal part of the parabolic operator under consideration belong to the Sarason class of functions having vanishing mean oscillation and then they could be discontinuous.