Vanishing non-local regularization of a scalar conservation law

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dc.contributor.authorDroniou, Jerome
dc.date.accessioned2021-01-29T13:48:12Z
dc.date.available2021-01-29T13:48:12Z
dc.date.issued2003-11-28
dc.description.abstractWe prove that the solution to the regularization of a scalar conservation law by a fractional power of the Laplacian converges, as the regularization vanishes, to the entropy solution of the hyperbolic problem. We also give an error estimate when the initial condition has bounded variation.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDroniou, J. (2003). Vanishing non-local regularization of a scalar conservation law. <i>Electronic Journal of Differential Equations, 2003</i>(117), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13168
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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectScalar conservation law
dc.subjectVanishing regularization
dc.subjectFractal operator
dc.subjectError estimate
dc.titleVanishing non-local regularization of a scalar conservation law
dc.typeArticle

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