Existence and Boundary Stabilization of a Nonlinear Hyperbolic Equation with Time-dependent Coefficients

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dc.contributor.authorCavalcanti, Marcelo M.
dc.contributor.authorDomingos Cavalcanti, V. N.
dc.contributor.authorSoraino, J. A.
dc.date.accessioned2018-11-15T22:45:54Z
dc.date.available2018-11-15T22:45:54Z
dc.date.issued1998-03-10
dc.description.abstractIn this article, we study the hyperbolic problem K(x, t)u>tt - ∑nj=1 (α(x, t) uxj) + F(x, t, u, ∇u) = 0 u = 0 on Γ1, ∂u / ∂v + β(x)ut = 0 on Γ0 u(0) = u0, ut(0) = u1 in Ω, where Ω is a bounded region in ℝn whose boundary is partitioned into two disjoint sets Γ0, Γ1. We prove existence, uniqueness, and uniform stability of strong and weak solutions when the coefficients and the boundary conditions provide a damping effect.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCavalcanti, M. M., Domingos Cavalcanti, V. N., & Soriano, J. A. (1998). Existence and boundary stabilization of a nonlinear hyperbolic equation with time-dependent coefficients. <i>Electronic Journal of Differential Equations, 1998</i>(08), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7796
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, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectBoundary stabilization
dc.subjectAsymptotic behaviour
dc.titleExistence and Boundary Stabilization of a Nonlinear Hyperbolic Equation with Time-dependent Coefficients
dc.typeArticle

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