  We study Phragm\'en-Lindel\"of properties for viscosity solutions to a class
of nonlinear parabolic equations of the type $H(Du, D^2u+Z(u)Du\otimes
Du)+\chi(t)|Du|^\sigma-u_t=0$ under a certain boundedness condition on $H$. We
also state results for positive solutions to a class of doubly nonlinear
equation $H(Du, D^2u)-f(u)u_t=0$.
