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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
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2016-05-02T15:16
|
| 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.
|
| Extent |
40 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: Central Michigan University
|
| Series | |
| Date Available |
2017-02-08
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0320839
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International