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
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Publisher:	HINDAWI PUBLISHING CORPORATION
ISSN:	1073-7928
Date:	2002
Number:	10
Number of Pages:	16
Page Range:	pp. 505-520
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11172

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