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Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
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UNSPECIFIED (2004) Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow. ANNALS OF MATHEMATICS, 159 (2). pp. 465-534. ISSN 0003-486X.
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Abstract
We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a 'quantization estimate' which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | ANNALS OF MATHEMATICS | ||||
Publisher: | ANN MATHEMATICS | ||||
ISSN: | 0003-486X | ||||
Official Date: | March 2004 | ||||
Dates: |
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Volume: | 159 | ||||
Number: | 2 | ||||
Number of Pages: | 70 | ||||
Page Range: | pp. 465-534 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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