Well-posedness and uniform decay rates for the Klein-gordon equation with damping term and acoustic boundary conditions

Abstract

In this paper, we consider the Klein-Gordon equation u″ +-αΔu+Β u′ p u′ +γ|u|qu=0 with damping term and acoustic boundary conditions. This work is devoted to prove the existence of global solutions and uniform decay rates of solutions of the Klein-Gordon equation with damping term and acoustic boundary conditions. © 2009 American Institute of Physics.