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Title:
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A smooth center manifold theorem which applies to some III-posed partial differential equations with unbounded nonlinearities
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Author:
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Llave Canosa, Rafael de la
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-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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Rights:
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Document type:
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Article - Published version
Article |
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