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