Title: Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term
Authors: Mitsuhiro Nakao
Addresses: Faculty of Mathematics, Kyushu University, Moto-oka 819-0395, Fukuoka, Japan
Abstract: We derive a precise decay rate of energy of solutions to the Cauchy problem for the wave equation with a nonlinear dissipative term and an absorbing term. Due to the absorbing term the equation is regarded as a generalised Klein-Gordon equation with a nonlinear dissipative term. This observation plays an important role in the proof.
Keywords: energy decay; wave equations; nonlinear dissipation terms; Cauchy problem; generalised Klein-Gordon equations; decay rate; absorbing terms.
DOI: 10.1504/IJDSDE.2011.041880
International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.3, pp.349 - 362
Published online: 24 Jan 2015 *
Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article