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

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Título:	A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities
Autor/a:	Llave Canosa, Rafael de la
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals -Differential equations -Boussinesq equations -Center manifold -Ill-posed equations -Reduction principles -Center manifolds -Ill posed equations -Boussinesq equations -Reduction principles -Equacions diferencials
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Tipo de documento:	Artículo - Versión publicada Artículo
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Delshams Valdés, Amadeu; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa

Delshams Valdés, Amadeu; Llave Canosa, Rafael de la; Martínez-Seara Alonso, M. Teresa

Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la

Cabré Vilagut, Xavier; Fontich i Julià, Ernest; Llave Canosa, Rafael de la

Delshams Valdés, Amadeu; Llave Canosa, Rafael de la; Seara, Tere M.

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