A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Llave Canosa, Rafael de la
dc.date	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.citation	1040-7294
dc.identifier.citation	10.1007/s10884-009-9140-y
dc.identifier.uri	http://hdl.handle.net/2117/11629
dc.language.iso	eng
dc.relation	http://www.springerlink.com/content/1040-7294/21/3/
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject	Differential equations
dc.subject	Boussinesq equations
dc.subject	Center manifold
dc.subject	Ill-posed equations
dc.subject	Reduction principles
dc.subject	Center manifolds
dc.subject	Ill posed equations
dc.subject	Boussinesq equations
dc.subject	Reduction principles
dc.subject	Equacions diferencials
dc.title	A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
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.description.abstract	Peer Reviewed

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