HIGHER DIFFERENTIABILITY FOR SOLUTIONS OF A CLASS OF PARABOLIC SYSTEMS WITH L-1,L-theta- DATA

Abstract

In the paper we consider very weak (or Q. Stampacchia) solutions to the Cauchy-Dirichlet problem for linear parabolic system with coefficients that are uniformly Hoelder in space variables and are bounded with vanishing mean oscillation in space and time.

The right hand side belongs to L^{1,theta} space.

Keywords

• Linear parabolic systems
• very weak solutions
• higher differentiability of solutions