Strict type-II blowup in harmonic map flow
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- by Alex Waldron
- Proc. Amer. Math. Soc. 151 (2023), 4893-4907
- DOI: https://doi.org/10.1090/proc/16511
- Published electronically: July 28, 2023
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Abstract:
A finite-time singularity of 2D harmonic map flow will be called “strictly type-II” if the outer energy scale satisfies \begin{equation*} \lambda (t) = O (T-t)^{\frac {1 + \alpha }{2} }. \end{equation*} We prove that the body map at a strict type-II blowup is Hölder continuous. This is relevant to a conjecture of Topping.References
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Bibliographic Information
- Alex Waldron
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 1179061
- Email: waldron@math.wisc.edu
- Received by editor(s): February 17, 2022
- Received by editor(s) in revised form: June 23, 2022
- Published electronically: July 28, 2023
- Additional Notes: The author was partially supported by NSF DMS-2004661
- Communicated by: Lu Wang
- © Copyright 2023 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 151 (2023), 4893-4907
- MSC (2020): Primary 53E99; Secondary 53C43
- DOI: https://doi.org/10.1090/proc/16511
- MathSciNet review: 4634891