On the decay of solutions for a class of quasilinear hyperbolic equations with non-linear damping and source terms
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چکیده
In this paper, we consider the non-linear wave equation utt − ut − div(|∇u|∇u) + a|ut | ut = b|u|u a; b¿0, associated with initial and Dirichlet boundary conditions. Under suitable conditions on , m, and p, we give precise decay rates for the solution. In particular, we show that for m = 0, the decay is exponential. This work improves the result by Yang (Math. Meth. Appl. Sci. 2002; 25:795–814). Copyright ? 2005 John Wiley & Sons, Ltd.
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تاریخ انتشار 2005