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On the decay of solutions for a class of quasilinear hyperbolic equations with non-linear damping and source terms

✍ Scribed by Salim A. Messaoudi

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
104 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we consider the non‐linear wave equation

a,b>0, associated with initial and Dirichlet boundary conditions. Under suitable conditions on α, 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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