Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix. (June 2015)

• Record Type: Journal Article
• Authors: Arkhipova, Arina A.; Stará, Jana
• Is Part Of: Nonlinear analysis. Volume 120(2015)
• Page Start: 236
• Page End: 261
• Publication Date: 2015-06
• Subjects: Quasilinear parabolic systems -- Nonsmooth in time nonlinearities -- Boundary regularity -- Morrey spaces -- VMO spaces; 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.2015.03.006
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: Partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix in the interior of space–time cylinder Q was proved in Arkhipova et al. (2014). In this paper we extend the results up to the parabolic boundary ∂ p Q . The coefficients of the system are assumed to be only bounded and measurable in the time variable. To prove the result, we apply the method of modified boundary A(t)-caloric approximation.