A Phragmén–Lindelöf property of viscosity solutions to a class of doubly nonlinear parabolic equations. Bounded case

Abstract

We study Phragmén-Lindelöf properties for viscosity solutions to a class of nonlinear parabolic equations of the type H(Du, D 2 u+Z(u)Du⊗Du)+χ(t)|Du| σ − u t = 0 under a certain boundedness condition on H. We also state results for positive solutions to a class of doubly nonlinear equation H(Du, D 2 u) − f (u)u t = 0.