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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.06128 |
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| _version_ | 1866915990781034496 |
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| author | Badran, Marco Cozzi, Giacomo |
| author_facet | Badran, Marco Cozzi, Giacomo |
| contents | We prove small energy regularity for a parabolic boundary reaction Ginzburg-Landau problem in the full range $s\in (0,1)$, answering a question posed by Hyder, Segatti, Sire and Wang. We also obtain a similar small energy regularity result for fractional harmonic maps to spheres. Both results are uniform as $s\to 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06128 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniform small energy regularity for fractional geometric problems Badran, Marco Cozzi, Giacomo Analysis of PDEs Differential Geometry 35R11, 35K55, 35B65, 58E20 We prove small energy regularity for a parabolic boundary reaction Ginzburg-Landau problem in the full range $s\in (0,1)$, answering a question posed by Hyder, Segatti, Sire and Wang. We also obtain a similar small energy regularity result for fractional harmonic maps to spheres. Both results are uniform as $s\to 1$. |
| title | Uniform small energy regularity for fractional geometric problems |
| topic | Analysis of PDEs Differential Geometry 35R11, 35K55, 35B65, 58E20 |
| url | https://arxiv.org/abs/2605.06128 |