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A uniform Poincaré estimate for quadratic differentials on closed surfaces
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Rupflin, Melanie and Topping, Peter (2015) A uniform Poincaré estimate for quadratic differentials on closed surfaces. Calculus of Variations and Partial Differential Equations, Volume 53 (Number 3-4). pp. 587-604. doi:10.1007/s00526-014-0759-0 ISSN 0944-2669.
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Official URL: http://dx.doi.org/10.1007/s00526-014-0759-0
Abstract
We revisit the classical Poincaré inequality on closed surfaces, and prove its natural analogue for quadratic differentials. In stark contrast to the classical case, our inequality does not degenerate when we work on hyperbolic surfaces that themselves are degenerating, and this fact turns out to be essential for applications to the Teichmüller harmonic map flow.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Calculus of Variations and Partial Differential Equations | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0944-2669 | ||||||||
Official Date: | 1 July 2015 | ||||||||
Dates: |
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Volume: | Volume 53 | ||||||||
Number: | Number 3-4 | ||||||||
Page Range: | pp. 587-604 | ||||||||
DOI: | 10.1007/s00526-014-0759-0 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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