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A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities
dc.contributor.author | Llave Canosa, Rafael de la |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2011-03-02T13:05:11Z |
dc.date.available | 2011-03-02T13:05:11Z |
dc.date.created | 2009 |
dc.date.issued | 2009 |
dc.identifier.citation | De 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.issn | 1040-7294 |
dc.identifier.uri | http://hdl.handle.net/2117/11629 |
dc.description.abstract | We 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.extent | 45 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Differential equations |
dc.subject.lcsh | Boussinesq equations |
dc.subject.lcsh | Center manifold |
dc.subject.lcsh | Ill-posed equations |
dc.subject.lcsh | Reduction principles |
dc.subject.other | Center manifolds |
dc.subject.other | Ill posed equations |
dc.subject.other | Boussinesq equations |
dc.subject.other | Reduction principles |
dc.title | A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1007/s10884-009-9140-y |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.springerlink.com/content/1040-7294/21/3/ |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 5248470 |
dc.description.version | Postprint (published version) |
local.citation.author | De La Llave, R. |
local.citation.publicationName | Journal of dynamics and differential equations |
local.citation.volume | 21 |
local.citation.number | 3 |
local.citation.startingPage | 371 |
local.citation.endingPage | 415 |
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