Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers

Abstract

We establish local and global higher integrability estimates for the gradient of vector-valued parabolic quasi-minimizers of integral functionals with polynomial p-growth, p>2nn+2, on a parabolic domain ΩT in Rn+1, n≥2 and under a weak regularity assumption on the parabolic boundary of ΩT.