Strict type-II blowup in harmonic map flow
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866918450050367488 |
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| author | Waldron, Alex |
| author_facet | Waldron, Alex |
| contents | A finite-time singularity of 2D harmonic map flow will be called "strictly type-II" if the outer energy scale satisfies $λ(t) = O(T - t)^{\frac{1 + α}{2}}.$ We prove that the body map at a strict type-II blowup is Hölder continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_14255 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Strict type-II blowup in harmonic map flow Waldron, Alex Differential Geometry Analysis of PDEs A finite-time singularity of 2D harmonic map flow will be called "strictly type-II" if the outer energy scale satisfies $λ(t) = O(T - t)^{\frac{1 + α}{2}}.$ We prove that the body map at a strict type-II blowup is Hölder continuous. |
| title | Strict type-II blowup in harmonic map flow |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2112.14255 |