Existence of Global Solutions to a Quasilinear Wave Equation with General Nonlinear Damping

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dc.contributor.authorAassila, Mohammed
dc.contributor.authorBenaissa, Abbes
dc.date.accessioned2020-08-21T19:11:31Z
dc.date.available2020-08-21T19:11:31Z
dc.date.issued2002-10-26
dc.description.abstractIn this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in H² ∩ H¹₀.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAassila, M., & Benaissa, A. (2002). Existence of global solutions to a quasilinear wave equation with general nonlinear damping. <i>Electronic Journal of Differential Equations, 2002</i>(91), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12448
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.subjectQuasilinear wave equation
dc.subjectGlobal existence
dc.subjectAsymptotic behavior
dc.subjectNonlinear dissipative term
dc.subjectMultiplier method
dc.titleExistence of Global Solutions to a Quasilinear Wave Equation with General Nonlinear Damping
dc.typeArticle

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