Phragmén-Lindelöf type results for a class of nonlinear damped wave equations

Abstract

This paper deals with the behavior at infinity of solutions to a class of wave equations with nonlinear dampingterms defined in a semi-infinite cylinder. The spatial behavior of solutions is studied and an alternative ofPhragmén-Lindelöf type theorems is obtained in the results. The main point in the contribution is the use of energy method.