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Growth of Sobolev norms in linear time dependent Schrà ¶dinger equations Maspero, Alberto
Description
In the talk I will present some recent results on upper and lower bounds for the growth of Sobolev norms in linear time dependent Schrà ¶dinger equations. After discussing the known upper bounds on the Sobolev norms of the solutions, I will explain a strategy to construct time dependent perturbations which provoke transfer of energy from low to high modes, leading to unbounded solutions.
Item Metadata
Title |
Growth of Sobolev norms in linear time dependent Schrà ¶dinger equations
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-06-10T16:30
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Description |
In the talk I will present some recent results on upper and lower bounds for the
growth of Sobolev norms in linear time dependent Schrà ¶dinger equations.
After discussing the known upper bounds on the Sobolev norms of the solutions,
I will explain a strategy to construct time dependent perturbations
which provoke transfer of energy from low to high modes, leading to unbounded solutions.
|
Extent |
41.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: SISSA Trieste
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Series | |
Date Available |
2019-12-08
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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 |
10.14288/1.0386785
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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