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A maximum principle for evolution Hamilton-Jacobi equations on Riemannian manifolds

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dc.contributor.authorAzagra Rueda, Daniel
dc.contributor.authorFerrera Cuesta, Juan
dc.contributor.authorLópez-Mesas Colomina, Fernando
dc.date.accessioned2023-06-20T09:31:49Z
dc.date.available2023-06-20T09:31:49Z
dc.date.issued2006-11-01
dc.description.abstractWe establish a maximum principle for viscosity subsolutions and supersolutions of equations of the form u(t) + F(t, d(x)u) = 0, u(0, x) = u(0)(x), where u(0): M -> R is a bounded uniformly continuous function, M is a Riemannian manifold, and F: [0, infinity) x T*M -> R. This yields uniqueness of the viscosity solutions of such Hamilton-Jacobi equations.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMarie Curie Intra-European Fellowship of the European Community, Human Resources and Mobility Programme
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14772
dc.identifier.doi10.1016/j.jmaa.2005.10.048
dc.identifier.issn0022-247X
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0022247X05010309
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49821
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final480
dc.page.initial473
dc.publisherElsevier
dc.relation.projectIDMEIF CT2003-500927.
dc.rights.accessRightsrestricted access
dc.subject.cdu517.97
dc.subject.cdu514.764.2
dc.subject.cdu515.165
dc.subject.keywordInfinite dimensions
dc.subject.keywordNonsmooth analysis
dc.subject.keywordHamilton-Jacobi equations
dc.subject.keywordviscosity solutions
dc.subject.keywordRiemannian manifolds
dc.subject.ucmGeometría diferencial
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1204.04 Geometría Diferencial
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleA maximum principle for evolution Hamilton-Jacobi equations on Riemannian manifolds
dc.typejournal article
dc.volume.number323
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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