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dc.contributor.authorCannarsa, Piermarco
dc.contributor.authorCardaliaguet, Pierre
dc.date.accessioned2011-04-18T10:13:54Z
dc.date.available2011-04-18T10:13:54Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5985
dc.language.isoenen
dc.subjectviscosity solutionsen
dc.subjectextremal trajectoriesen
dc.subjectsemiconcave functionsen
dc.subjectdifferential inclusionsen
dc.subject.ddc519en
dc.titleRegularity Results for Eikonal-Type Equations with Nonsmooth Coefficientsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDipartimento di Matematica [Roma II] (DIPMAT) http://www.mat.uniroma2.it/ Universita degli studi di Roma Tor Vergata;Italie
dc.description.abstractenSolutions of the Hamilton-Jacobi equation $H(x,-Du(x))=1$, with $H(\cdot,p)$ Hölder continuous and $H(x,\cdot)$ convex and positively homogeneous of degree $1$, are shown to be locally semiconcave with a power-like modulus. An essential step of the proof is the ${\mathcal C}^{1,\alpha}$-regularity of the extremal trajectories associated with the multifunction generated by $D_pH$.en
dc.relation.isversionofjnlnameNoDEA: Nonlinear Differential Equations and Applications
dc.relation.isversionofjnlvol19
dc.relation.isversionofjnlissue6
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages751-769
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00030-011-0150-1
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00578730/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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