Title	Almost-periodic tori for the nonlinear SchrÃ Â¶dinger equation
Creator	Massetti, Jessica Elisa
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-06-13T11:31
Description	The problem of persistence of invariant tori in infinite dimension is a challenging problem in the study of PDEs. There is a rather well established literature on the persistence of n-dimensional invariant tori carrying a quasi-periodic Diophantine flow (for one-dimensional system) but very few on the persistence of infinite-dimensional ones. Inspired by the classical "twisted conjugacy theorem" of M. Herman for perturbations of degenerate Hamiltonians possessing a Diophantine invariant torus, we intend to present a compact and unified frame in which recover the results of Bourgain and PÃ Â¶schel on the existence of almost-periodic solutions for the Nonlinear SchrÃ Â¶dinger equation. We shall discuss the main advantages of our approach as well as new perspectives. This is a joint work with L. Biasco and M. Procesi.
Extent	39.0 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Centro di Ricerca Matematica E. De Giorgi - Scuola Normale Superiore
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-12-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0387022
URI	http://hdl.handle.net/2429/72669
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Almost-periodic tori for the nonlinear SchrÃ Â¶dinger equation Massetti, Jessica Elisa

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