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 $H(Du,D^{2}u+Z(u)Du\otimes Du)+\chi (t)|Du{|}^{\sigma }-u_t=0$ under a certain boundedness condition on $H$. We also state results for positive solutions to a class of doubly nonlinear equation $H(Du,D^{2}u)-f(u)u_t=0$.

33 pages