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Decay estimates for Rivière’s equation, with applications to regularity and compactness
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Sharp, Benjamin G. and Topping, Peter (2012) Decay estimates for Rivière’s equation, with applications to regularity and compactness. Transactions of the American Mathematical Society, Volume 365 (Number 5). pp. 2317-2339. doi:10.1090/S0002-9947-2012-05671-6 ISSN 0002-9947.
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Official URL: http://dx.doi.org/10.1090/S0002-9947-2012-05671-6
Abstract
We derive a selection of energy estimates for a generalisation of a critical equation on the unit disc in ℝ2 introduced by Rivière. Applications include sharp regularity results and compactness theorems which generalise a large amount of previous geometric PDE theory, including some of the theory of harmonic and almost-harmonic maps from surfaces
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Transactions of the American Mathematical Society | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0002-9947 | ||||
Official Date: | December 2012 | ||||
Dates: |
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Volume: | Volume 365 | ||||
Number: | Number 5 | ||||
Page Range: | pp. 2317-2339 | ||||
DOI: | 10.1090/S0002-9947-2012-05671-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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