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Partially localized solutions of elliptic equations in $\mathbb{R}^{N+1}$. Valdebenito, Dario
Description
Using spatial dynamics and results from the KAM theory, we develop a framework to find solutions of semilinear elliptic equations on the entire space which are quasiperiodic in one variable, decaying in the other variables. These results apply to a wide class of nonhomogeneous (and some homogeneous) problems. A careful application of Birkhoff normal form allows us to obtain a nondegeneracy condition for KAM that works even for some purely quadratic nonlinearities.
Item Metadata
| Title |
Partially localized solutions of elliptic equations in $\mathbb{R}^{N+1}$.
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-06-13T17:15
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| Description |
Using spatial dynamics and results from the KAM theory, we develop a framework to find solutions of semilinear elliptic equations on the entire space which are quasiperiodic in one variable, decaying in the other variables. These results apply to a wide class of nonhomogeneous (and some homogeneous) problems. A careful application of Birkhoff normal form allows us to obtain a nondegeneracy condition for KAM that works even for some purely quadratic nonlinearities.
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| Extent |
36.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: McMaster University
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| Series | |
| Date Available |
2019-12-11
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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 |
10.14288/1.0387023
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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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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International