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Stochastic homogenization of non-local Hamilton-Jacobi equations

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorHajej, Ahmed
dc.date.accessioned2018-01-08T13:09:20Z
dc.date.available2018-01-08T13:09:20Z
dc.date.issued2016
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17248
dc.language.isoenen
dc.subjectnon-local Hamilton-Jacobi equationsen
dc.subjectfront propagation problemsen
dc.subjectlevel-set approachen
dc.subjecthomogenization in random mediaen
dc.subjectmetric problemsen
dc.subjectperturbed test function methoden
dc.subjectviscosity solution.en
dc.subject.ddc515en
dc.titleStochastic homogenization of non-local Hamilton-Jacobi equationsen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study the homogenization of non-local Hamilton-Jacobi equations in stationary ergodic settings. These equations can be seen as a level-set approach of front propagation problems that move in the normal direction with non-local velocities. We first identify the effective Hamiltonian and an approximate corrector by studying the associated metric problem. Then, we prove the main homogenization result by means of a non-local version of the perturbed test function method.en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2016
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2018-01-08T13:03:47Z
hal.author.functionaut


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