Power concavity in weakly coupled elliptic and parabolic systems. (January 2016)

• Record Type: Journal Article
• Authors: Ishige, Kazuhiro; Nakagawa, Kazushige; Salani, Paolo
• Is Part Of: Nonlinear analysis. Volume 131(2016)
• Page Start: 81
• Page End: 97
• Publication Date: 2016-01
• Subjects: Elliptic and parabolic systems -- Power concavity -- Viscosity solutions; 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.2015.08.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we start the investigation of concavity properties of solutions to systems of PDE's in convex domains. In particular we prove that suitable powers of solutions to some weakly coupled elliptic and parabolic systems are concave.