Stable self-similar blowup in the supercritical heat flow of harmonic maps
Author:
Funder
University of Vienna
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/article/10.1007/s00526-017-1256-z/fulltext.html
Reference45 articles.
1. Biernat, P.: Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions. Nonlinearity 28(1), 167–185 (2015)
2. Biernat, P., Bizoń, P.: Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres. Nonlinearity 24(8), 2211–2228 (2011)
3. Biernat, P., Donninger, R.: Construction of a spectrally stable self-similar blowup solution to the supercritical harmonic map heat flow. Preprint arXiv:1610.09496 (2016)
4. Biernat, P., Seki, Y.: Type II blow-up mechanism for supercritical harmonic map heat flow. Preprint arXiv:1601.01831 (2016)
5. Bizoń, P., Wasserman, A.: Nonexistence of shrinkers for the harmonic map flow in higher dimensions. Int. Math. Res. Not. IMRN 17, 7757–7762 (2015)
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case;Communications in Partial Differential Equations;2020-03-30
2. Stable self-similar blowup in the supercritical heat flow of harmonic maps;Calculus of Variations and Partial Differential Equations;2017-11-04
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