Gradient estimates for doubly nonlinear diffusion equations. (January 2015)

• Record Type: Journal Article
• Authors: Chen, Daguang; Xiong, Changwei
• Is Part Of: Nonlinear analysis. Volume 112(2015)
• Page Start: 156
• Page End: 164
• Publication Date: 2015-01
• Subjects: Doubly nonlinear diffusion equation -- Gradient estimate -- Harnack inequalities; 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.2014.08.017
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this short note we obtain some gradient estimates for the positive solution to the doubly nonlinear diffusion equation on closed Riemannian manifold with Ricci curvature bounded below by a non-positive constant. As applications, we also derive corresponding Harnack inequalities.