Symmetry of viscosity solutions for fully nonlinear parabolic equations. (June 2016)

• Record Type: Journal Article
• Authors: Dai, Limei
• Is Part Of: Nonlinear analysis. Volume 29(2016)
• Page Start: 68
• Page End: 79
• Publication Date: 2016-06
• Subjects: Viscosity solutions -- Fully nonlinear parabolic equations -- Radial symmetry -- Punctured cylinder -- Moving plane method; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.11.002
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we study the symmetry of viscosity solutions for fully nonlinear parabolic equations − u t + F ( x, t, u, D u, D 2 u ) = 0 . We first establish the maximum principles of viscosity solutions for linear parabolic equations. Then the symmetry and monotonicity results of viscosity solutions for fully nonlinear parabolic equations in a bounded domain and a punctured cylinder are proved.