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Seminario di Fisica Matematica: An abstract Implicit Function Theorem and quasi-periodic solutions for Hamiltonian PDEs on homogeneous manifolds

Mercoledì 12 Febbraio 2014, ore 14:00 - Aula 1BC45 - Livia Corsi

ARGOMENTI: Seminari

SEMINARIO DI FISICA MATEMATICA
Mercoledì 12 Febbraio 2014 alle ore 14:00 in aula 1BC45 della Torre Archimede, Livia Corsi dell'Università di Roma La Sapienza terrà un seminario dal titolo "An abstract Implicit Function Theorem and quasi-periodic solutions for Hamiltonian PDEs on homogeneous manifolds".

Abstract
I will present an abstract Implicit Function Theorem with parameters for smooth operators defined on sequence scales of Hilbert spaces, modeled for the search of quasi-periodic solutions for PDEs. As an application, I will deduce the existence of quasi-periodic solutions for forced NLW and NLS equations on any compact manifold which is homogeneous with respect to a compact Lie group.
Joint work with M. Berti and M. Procesi.

Rif. Int. M. Guzzo