Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations

dc.contributor.author	Lions, Pierre-Louis
dc.date.accessioned	2014-05-20T14:27:59Z
dc.date.available	2014-05-20T14:27:59Z
dc.date.issued	1989
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/13329
dc.language.iso	en	en
dc.subject	second-order equations	en
dc.subject.ddc	515	en
dc.title	Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We prove here the uniqueness and existence of viscosity solutions for a general class of fully nonlinear second-order equations in an infinite-dimensional Hilbert space. The uniqueness is proved using the so-called inf and sup convolutions which allow some reduction to finite-dimensional problems.	en
dc.relation.isversionofjnlname	Journal of Functional Analysis
dc.relation.isversionofjnlvol	86	en
dc.relation.isversionofjnlissue	1	en
dc.relation.isversionofjnldate	1989
dc.relation.isversionofjnlpages	1-18	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1016/0022-1236(89)90062-1	en
dc.relation.isversionofjnlpublisher	Elsevier	en
dc.subject.ddclabel	Analyse	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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