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

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dc.contributor.authorSantos, Mauro de Lima
dc.date.accessioned2020-08-05T19:26:39Z
dc.date.available2020-08-05T19:26:39Z
dc.date.issued2002-05-06
dc.description.abstractThe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSantos, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12312
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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectAsymptotic behavior
dc.subjectWave equation
dc.titleDecay Rates for Solutions of a System of Wave Equations with Memoryen_US
dc.typeArticle

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