Asymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundary
Date
2001-11-26
Authors
Santos, Mauro de Lima
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper, we study the stability of solutions for wave equations whose boundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the relaxation function also decays exponentially. When the relaxation function decays polynomially, we show that the solution decays polynomially and with the same rate.
Description
Keywords
Wave equations, Asymptotic behavior
Citation
Santos, M. L. (2001). Asymptotic behavior of solutions to wave equations with a memory condition at the boundary. <i>Electronic Journal of Differential Equations, 2001</i>(73), pp. 1-11.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.