, Volume 29, Issue 2, pp 259-262

Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms

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Abstract

This paper studies the initial boundary value problem of fourth order wave equation with dispersive and dissipative terms. By using multiplier method, it is proven that the global strong solution of the problem decays to zero exponentially as the time approaches infinite, under a very simple and mild assumption regarding the nonlinear term.

Communicated by GUO Xing-ming
Project supported by the National Natural Science Foundation of China (No. 10271034) and the Natural Science Foundation of Heilongjiang Province of China (No. A2007-02).