Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers. (February 2015)

• Record Type: Journal Article
• Authors: Habermann, J.
• Is Part Of: Nonlinear analysis. Volume 114(2015)
• Page Start: 42
• Page End: 73
• Publication Date: 2015-02
• Subjects: 35K55 -- 35B65 -- 49N60; Parabolic quasiminimizers -- Higher integrability -- Gradient estimates -- Global regularity -- Vector-valued problems; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.10.014
• Languages: English
• ISSNs: 0362-546X

Abstract

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 > 2 n n + 2, on a parabolic domain Ω T in R n + 1, n ≥ 2 and under a weak regularity assumption on the parabolic boundary of Ω T .