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Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

dc.contributor.authorAzagra Rueda, Daniel
dc.contributor.authorFerrera Cuesta, Juan
dc.contributor.authorLópez-Mesas Colomina, Fernando
dc.date.accessioned2023-06-20T09:31:51Z
dc.date.available2023-06-20T09:31:51Z
dc.date.issued2005-03-15
dc.description.abstractWe establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton-Jacobi equations defined on Riemannian manifolds.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMarie Curie Fellowship of the European Community Training
dc.description.sponsorshipBFM Grant .
dc.description.sponsorshipConsejería de Educación de la Comunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14774
dc.identifier.doi10.1016/j.jfa.2004.10.008
dc.identifier.issn0022-1236
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0022123604003519
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49822
dc.issue.number2
dc.journal.titleJournal of Functional Analysis
dc.language.isoeng
dc.page.final361
dc.page.initial304
dc.publisherElsevier
dc.relation.projectIDHPMF-CT-2001-01175
dc.relation.projectID2000/0609
dc.rights.accessRightsrestricted access
dc.subject.cdu517.518.244
dc.subject.keywordSmooth variational-principles
dc.subject.keywordDimensional Banach-spaces
dc.subject.keywordUnbounded linear terms
dc.subject.keywordNon-compact manifolds
dc.subject.keywordViscosity solutions
dc.subject.keywordInfinite dimensions
dc.subject.keywordConvex-functions
dc.subject.keywordRolles theorem
dc.subject.keywordUniqueness
dc.subject.keywordExistence
dc.subject.keywordSubdifferential
dc.subject.keywordRiemannian manifolds
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleNonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds
dc.typejournal article
dc.volume.number220
dspace.entity.typePublication
relation.isAuthorOfPublication6696556b-dc2e-4272-8f5f-fa6a7a2f5344
relation.isAuthorOfPublication1a91d6af-aaeb-4a3e-90ce-4abdf2b90ac3
relation.isAuthorOfPublication47cb9ee0-975c-4533-a7a4-bc341c8ac1d6
relation.isAuthorOfPublication.latestForDiscovery6696556b-dc2e-4272-8f5f-fa6a7a2f5344

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