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dc.contributor.authorDix, Julio G.
dc.date.accessioned2018-11-16T19:30:26Z
dc.date.available2018-11-16T19:30:26Z
dc.date.issued1998-08-28
dc.date.submitted1998-01-29
dc.identifier.citationDix, J. G. (1998). Decay of solutions of a degenerate hyperbolic equation. "Electronic Journal of Differential Equations," No. 21, pp. 1-10.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/7800
dc.description.abstractThis article studies the asymptotic behavior of solutions to the damped, non-linear wave equation ü + yů - m(||∇u||2)∆u = ƒ(x,t), for x ∈ Ω, t ≥ 0 u(x,0) = g(x), ů(x,0) = h(x), for x ∈ Ω u(x,t) = 0, for x ∈ ∂Ω t ≥ 0; where Ω is a bounded domain in Rn, with smooth boundary ∂Ω; y is a positive constant; m is a non-negative, bounded, and continuous function; ů denotes the derivative of u with respect to time; and as usual ∆u = n∑i=1 ∂2u/∂x2i, ||∇u||2 = n∑i=1 ƒΩ |∂u/∂xi|2 dx. This equation appears in mathematical physics as the Carrier or Kirchoff equation, when modeling planar vibrations. For a background and physical properties of this model, we refer the reader to [3], [4], [8], [12], and their references.en_US
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.language.isoen_USen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectDegenerate hyperbolic equationen_US
dc.subjectAsymptotic behavioren_US
dc.titleDecay of Solutions of a Degenerate Hyperbolic Equationen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons Attribution 4.0 International License [https://creativecommons.org/licenses/by/4.0/]


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