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Reducibility of a transport equation on $T^ d$ with unbounded perturbations Langella, Beatrice
Description
In this talk I will present a reducibility result holding for time quasi-periodic unbounded perturbations of a non-resonant transport equation on the dâ dimensional torus $T^d$ . Such a result is obtained combining pseudo-differential calculus, used to conjugate the initial system to a new one with a smoothing perturbation, and a KAM scheme, implemented to actually obtain reducibility. This makes possible to exhibit an example of reducibility for a higher dimensional Hamiltonian PDE, in a case where, in addition, the unperturbed problem has a spectrum which is dense on the real axis.
Item Metadata
Title |
Reducibility of a transport equation on $T^ d$ with unbounded perturbations
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-06-11T17:19
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Description |
In this talk I will present a reducibility result holding for time
quasi-periodic unbounded perturbations of a non-resonant transport
equation on the dâ dimensional torus $T^d$ . Such a result is obtained
combining pseudo-differential calculus, used to conjugate the initial
system to a new one with a smoothing perturbation, and a KAM scheme,
implemented to actually obtain reducibility. This makes possible to
exhibit an example of reducibility for a higher dimensional
Hamiltonian PDE, in a case where, in addition, the unperturbed problem
has a spectrum which is dense on the real axis.
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Extent |
12.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Università degli Studi di Milano
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Series | |
Date Available |
2021-01-15
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0395613
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International