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

Document Type: Regular Paper


Department of Mathematics, College of Sciences, Shiraz University, P.O.Box 71454, Shiraz, Iran


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