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dc.contributor.authorBernard, Patrick
dc.date.accessioned2014-06-11T13:28:54Z
dc.date.available2014-06-11T13:28:54Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13435
dc.language.isoenen
dc.subjectcalculus of variationsen
dc.subjectvariational solutionsen
dc.subjectviscosity solutionsen
dc.subjectHamilton-Jacobi equationsen
dc.subject.ddc520en
dc.titleSemi-concave singularities and the Hamilton-Jacobi equationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe study the Cauchy problem for the Hamilton-Jacobi equation with a semiconcave initial condition. We prove an inequality between two types of weak solutions emanating from such an initial condition (the variational and the viscosity solution).We also give conditions for an explicit semi-concave function to be a viscosity solution. These conditions generalize the entropy inequality characterizing piecewise smooth solutions of scalar conservation laws in dimension one.en
dc.relation.isversionofjnlnameRegular and Chaotic Dynamics
dc.relation.isversionofjnlvol18en
dc.relation.isversionofjnlissue6en
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages674-685en
dc.relation.isversionofdoihttp://dx.doi.org/10.1134/S1560354713060075en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00999547en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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