Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term
by Mitsuhiro Nakao
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 3, 2011

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.

Online publication date: Sat, 24-Jan-2015

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