Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited

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dc.creatorBarles, Guy
dc.creatorImbert, Cyril
dc.date2007-02-09
dc.date2008-09-30
dc.date.accessioned2026-07-07T10:06:15Z
dc.date.available2026-07-07T10:06:15Z
dc.descriptionThe aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity. Our main contribution is a new Jensen-Ishii's Lemma for integro-differential equations, which is stated for solutions with no restriction on their growth at infinity. The proof of this result, which is of course a key ingredient to prove comparison principles, relies on a new definition of viscosity solution for integro-differential equation (equivalent to the two classical ones) which combines the approach with test-functions and sub-superjets.
dc.identifierhttps://arxiv.org/abs/math/0702263
dc.identifierhttp://arxiv.org/abs/math/0702263
dc.identifierAnnales de l'Institut Henri Poincaré Analyse non linéaire 25, 3 (2008) 567-585
dc.identifierdoi:10.1016/j.anihpc.2007.02.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170265
dc.subjectAnalysis of PDEs
dc.subject35D99, 35J60, 35B05, 47G20
dc.titleSecond-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited
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