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dc.contributor.authorLlave Canosa, Rafael de la
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2011-03-02T13:05:11Z
dc.date.available2011-03-02T13:05:11Z
dc.date.created2009
dc.date.issued2009
dc.identifier.citationDe La Llave, R. A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities. "Journal of dynamics and differential equations", 2009, vol. 21, núm. 3, p. 371-415.
dc.identifier.issn1040-7294
dc.identifier.urihttp://hdl.handle.net/2117/11629
dc.description.abstractWe prove the existence of a smooth center manifold for several partial differential equations, including ill posed equations with unbounded nonlinearities. We also prove smooth dependence on parameters with respect to some perturbations, including unbounded ones. More concretely, we prove an abstract theorem and present applications to several concrete equations: ill posed Boussinesq, equation and system and nonlinear Laplace equations in cylindrical domains. We also consider the effect of some geometric structures.
dc.format.extent45 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject.lcshDifferential equations
dc.subject.lcshBoussinesq equations
dc.subject.lcshCenter manifold
dc.subject.lcshIll-posed equations
dc.subject.lcshReduction principles
dc.subject.otherCenter manifolds
dc.subject.otherIll posed equations
dc.subject.otherBoussinesq equations
dc.subject.otherReduction principles
dc.titleA smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities
dc.typeArticle
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.identifier.doi10.1007/s10884-009-9140-y
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.springerlink.com/content/1040-7294/21/3/
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac5248470
dc.description.versionPostprint (published version)
local.citation.authorDe La Llave, R.
local.citation.publicationNameJournal of dynamics and differential equations
local.citation.volume21
local.citation.number3
local.citation.startingPage371
local.citation.endingPage415


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