Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow
Author:
Affiliation:
1. Institute of Mathematics, University of Bonn, Bonn, Germany
2. Department of Mathematical Sciences, Faculty of Mathematics, Kyushu University, Fukuoka, Japan
Funder
Humboldt Foundation
Deutsche Forschungsgemeinschaft
Grant-in-Aid for Research Activity Start-up
Kyushu University Interdisciplinary Programs in Education and Projects in Research Development
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
http://academic.oup.com/imrn/article-pdf/2019/2/407/27576613/rnx122.pdf
Reference36 articles.
1. “None-self-similar blow-up in the heat flow for harmonic maps in higher dimensions.”;Biernat;Nonlinearity,2015
2. “Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres.”;Biernat;Nonlinearity,2011
3. “Nonexistence of shrinkers for the harmonic map flow in higher dimensions.”;Bizoń;International Mathematics Research Notices,2015
4. “Harmonic mappings of Riemannian manifolds.”;Eells;American Journal of Mathematics,1964
5. “Existence of the self-similar solutions in the heat flow of harmonic maps.”;Fan;Science in China Series A: Mathematics,1999
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