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On the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equations

dc.contributor.authorImbert, Cyril
HAL ID: 9368
ORCID: 0000-0002-1290-8257
dc.contributor.authorChasseigne, Emmanuel
HAL ID: 2308
dc.contributor.authorBarles, Guy
HAL ID: 1242
dc.date.accessioned2009-06-18T08:45:06Z
dc.date.available2009-06-18T08:45:06Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/332
dc.language.isoenen
dc.subjectviscosity solutionsen
dc.subjectgeneral nonlocal operatorsen
dc.subjectLévy operatorsen
dc.subjectDirichlet problemen
dc.subjectintegro-differential equationsen
dc.subject.ddc515en
dc.titleOn the Dirichlet Problem for Second-Order Elliptic Integro-Differential Equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this article, we consider the analogue of the Dirichlet problem for second-order elliptic integro-differential equations, which consists in imposing the "boundary conditions" in the whole complementary of the domain. We are looking for conditions on the differential and integral parts of the equation in order to ensure that the Dirichlet boundary condition is satisfied in the classical sense or, in other words, in order that the solution agrees with the Dirichlet data on the boundary of the domain. We also provide a general existence result of a continuous viscosity solution of the nonlocal Dirichlet problem by using Perron's method.en
dc.relation.isversionofjnlnameIndiana University Mathematics Journal
dc.relation.isversionofjnlvol57en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages213-246en
dc.relation.isversionofdoihttp://dx.doi.org/10.1512/iumj.2008.57.3315en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00150151/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelAnalyseen


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