Asymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundary

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dc.contributor.authorSantos, Mauro de Lima
dc.date.accessioned2020-02-21T15:14:58Z
dc.date.available2020-02-21T15:14:58Z
dc.date.issued2001-11-26
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSantos, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9327
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectWave equations
dc.subjectAsymptotic behavior
dc.titleAsymptotic Behavior of Solutions to Wave Equations with a Memory Condition at the Boundary
dc.typeArticle

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