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.
|ジャーナル||International Journal of Dynamical Systems and Differential Equations|
|出版ステータス||Published - 2011 8月|
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