Strong traces for degenerate parabolic-hyperbolic equations and applications

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dc.contributor.advisorVasseur, Alexis F.en
dc.creatorKwon, Young Samen
dc.date.accessioned2008-08-28T23:31:20Zen
dc.date.accessioned2017-05-11T22:17:48Z
dc.date.available2008-08-28T23:31:20Zen
dc.date.available2017-05-11T22:17:48Z
dc.date.issued2007-05en
dc.descriptiontexten
dc.description.abstractWe consider bounded weak solutions u of a degenerate parabolic-hyperbolic equation defined in a subset [mathematical symbols]. We define strong notion of trace at the boundary [mathematical symbols] reached by L¹ convergence for a large class of functionals of u. Such functionals depend on the flux function of the degenerate parabolic-hyperbolic equation and on the boundary. We also prove the well-posedness of the entropy solution for scalar conservation laws with a strong boundary condition with the above trace result as applications.en
dc.description.departmentMathematicsen
dc.format.mediumelectronicen
dc.identifierb6878756xen
dc.identifier.oclc173610341en
dc.identifier.urihttp://hdl.handle.net/2152/3166en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshDifferential equations, Hyperbolic--Numerical solutionsen
dc.subject.lcshDifferential equations, Parabolic--Numerical solutionsen
dc.subject.lcshDegenerate differential equationsen
dc.subject.lcshCauchy problem--Numerical solutionsen
dc.titleStrong traces for degenerate parabolic-hyperbolic equations and applicationsen
dc.type.genreThesisen

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