Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity

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dc.contributor.authorCavalcanti, Marcelo M.
dc.contributor.authorDomingos Cavalcanti, V. N.
dc.contributor.authorSoraino, Juan Amadeo
dc.contributor.authorSouza, Joel S.
dc.date.accessioned2021-04-19T14:38:52Z
dc.date.available2021-04-19T14:38:52Z
dc.date.issued2004-04-09
dc.description.abstractIn this article we study the homogenization and uniform decay of the nonlinear hyperbolic equation ∂ttuɛ - Δuɛ + F(x, t, ∂tuɛ, ∇uɛ) = 0 in Ωɛ x (0, +∞) where Ωɛ is a domain containing holes with small capacity (i.e. the holes are smaller than a critical size). The homogenization's proofs are based on the abstract framework introduced by Cioranescu and Murat [8] for the study of homogenization of elliptic problems. Moreover, uniform decay rates are obtained by considering the perturbed energy method developed by Haraux and Zuazua [10].
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCavalcanti, M. M., Domingos Cavalcanti, V. N., Soriano, J. A., & Souza, J. S. (2004). Homogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity. <i>Electronic Journal of Differential Equations, 2004</i>(55), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13392
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, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHomogenization
dc.subjectAsymptotic stability
dc.subjectWave equation
dc.titleHomogenization and uniform stabilization for a nonlinear hyperbolic equation in domains with holes of small capacity
dc.typeArticle

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