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L2-cohomology of annuli and Sobolev estimates for the ∂-bar problem Chakrabarti, Debraj
Description
We consider the question of $L^2$-estimates for the $\overline{\partial}$-problem on annuli, a simple but interesting class of non-pseudoconvex domains. We relate this question with $W^1$-Sobolev estimates on the "hole" of the annulus. We then consider special classes of non-smooth holes for which the questions can be answered. This is joint work with Mei-Chi Shaw and Christine Laurent-Thiébaut.
Item Metadata
Title |
L2-cohomology of annuli and Sobolev estimates for the ∂-bar problem
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-05-02T15:16
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Description |
We consider the question of $L^2$-estimates for the $\overline{\partial}$-problem on annuli,
a simple but interesting class of non-pseudoconvex domains. We relate this question with $W^1$-Sobolev
estimates on the "hole" of the annulus. We then consider special classes of non-smooth holes for which
the questions can be answered. This is joint work with Mei-Chi Shaw and Christine Laurent-Thiébaut.
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Extent |
40 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Central Michigan University
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Series | |
Date Available |
2017-02-08
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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 |
10.14288/1.0320839
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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