Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems. (March 2019)

• Record Type: Journal Article
• Authors: Bui, The Anh; Duong, Xuan Thinh; Le, Xuan Truong
• Is Part Of: Nonlinear analysis. Volume 180(2019)
• Page Start: 184
• Page End: 207
• Publication Date: 2019-03
• Subjects: 35K25 -- 35J48 -- 35B65; Asymptotically regular -- Higher-order parabolic systems -- Higher-order elliptic systems -- BMO norm -- Weighted Lebesgue spaces -- Morrey 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.2018.10.009
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we prove the weighted L p regularity estimates and the Morrey regularity estimates for a class of higher-order nonlinear parabolic systems which satisfy an asymptotically regular condition. As a byproduct, similar regularity estimates are also obtained for a corresponding class of higher-order nonlinear elliptic systems.