Decay Rates for Solutions of a System of Wave Equations with Memory

Date

2002-05-06

Authors

Santos, Mauro de Lima

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

The purpose of this article is to study the asymptotic behavior of the solutions to a coupled system of wave equations having integral convolutions as memory terms. We prove that when the kernels of the convolutions decay exponentially, the first and second order energy of the solutions decay exponentially. Also we show that when the kernels decay polynomially, these energies decay polynomially.

Description

Keywords

Asymptotic behavior, Wave equation

Citation

Santos, M. L. (2002). Decay rates for solutions of a system of wave equations with memory. <i>Electronic Journal of Differential Equations, 2002</i>(38), pp. 1-17.

Rights

Attribution 4.0 International

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