Asymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundary
dc.contributor.author | Santos, Mauro de Lima | |
dc.date.accessioned | 2020-07-02T22:13:02Z | |
dc.date.available | 2020-07-02T22:13:02Z | |
dc.date.issued | 2001-11-26 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Santos, M. L. (2001). Asymptotic behavior of solutions to wave equations with a memory condition at the boundary. Electronic Journal of Differential Equations, 2001(73), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/11949 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Wave equations | |
dc.subject | Asymptotic behavior | |
dc.title | Asymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundary | |
dc.type | Article |