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Distances between classes of sphere-valued maps Shafrir, Itai
Description
Certain spaces of Sobolev maps taking values in spheres can be decomposed into classes according to the singularities of each map. Two important examples are $W^{1,1}(\Omega;S^1)$ and $W^{1,2}(\Omega;S^2)$, where $\Omega$ is a smooth bounded domain in ${\mathbb R}^N$. We shall present several results and open problems regarding two natural notions of distance between different classes. This is a joint work with Haim Brezis and Petru Mironescu.
Item Metadata
Title |
Distances between classes of sphere-valued maps
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-04T10:30
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Description |
Certain spaces of Sobolev maps taking values in spheres can be
decomposed into classes according to the singularities of each map.
Two important examples are $W^{1,1}(\Omega;S^1)$ and
$W^{1,2}(\Omega;S^2)$, where $\Omega$ is a smooth bounded domain in
${\mathbb R}^N$.
We shall present several results and open problems regarding two natural
notions of distance between different classes.
This is a joint work with Haim Brezis and Petru Mironescu.
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Extent |
46 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Technion-Israel Institute of Technology
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Series | |
Date Available |
2017-11-01
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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 |
10.14288/1.0357422
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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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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International