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Reverse bubbling and nonuniqueness in the harmonic map flow
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UNSPECIFIED (2002) Reverse bubbling and nonuniqueness in the harmonic map flow. INTERNATIONAL MATHEMATICS RESEARCH NOTICES (10). pp. 505-520. ISSN 1073-7928.
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Abstract
In this paper, we construct a new type of singularity which may occur in weak solutions of the harmonic map flow for two-dimensional domains. This "reverse bubbling" singularity may occur spontaneously, and enables us to construct solutions to the harmonic map heat equation which differ from the standard Struwe solution, despite agreeing for an arbitrarily long initial time interval.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | INTERNATIONAL MATHEMATICS RESEARCH NOTICES | ||||
Publisher: | HINDAWI PUBLISHING CORPORATION | ||||
ISSN: | 1073-7928 | ||||
Official Date: | 2002 | ||||
Dates: |
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Number: | 10 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 505-520 | ||||
Publication Status: | Published |
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