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Infinite time bubbling in the critical heat equation: the role of Green’s Function Musso, Monica
Description
We construct global unbounded solutions for the critical nonlinear heat equation on a bounded smooth domain satisfying zero Dirichlet boundary conditions. Given an integer k, and given any set of k distinct points of the domain, which satisfy a certain condition involving Green’s function of the domain, we find a positive solution for the critical heat equation blowing up at exactly those k points as time goes to infinity.
This work is in collaboration with C. Cortazar and M. del Pino.
Item Metadata
| Title |
Infinite time bubbling in the critical heat equation: the role of Green’s Function
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2015-09-01T11:00
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| Description |
We construct global unbounded solutions for the critical nonlinear heat equation on a bounded smooth domain satisfying zero Dirichlet boundary conditions. Given an integer k, and given any set of k distinct points of the domain, which satisfy a certain condition involving Green’s function of the domain, we find a positive solution for the critical heat equation blowing up at exactly those k points as time goes to infinity.
This work is in collaboration with C. Cortazar and M. del Pino.
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| Extent |
60 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Universidad Católica de Chile
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| Series | |
| Date Available |
2016-03-10
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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 |
10.14288/1.0228562
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International