Hölder extension for fractional Laplacian
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915448206917632 |
|---|---|
| author | Li, Feng |
| author_facet | Li, Feng |
| contents | In this note, we characterize the sharp boundary condition such that the fractional harmonic extensions with Hölder regularity up to the boundary is globally Hölder continuous. The proofs are based on estimates of fractional harmonic measure decay and uniform fractional fatness of the complement of the domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hölder extension for fractional Laplacian Li, Feng Analysis of PDEs In this note, we characterize the sharp boundary condition such that the fractional harmonic extensions with Hölder regularity up to the boundary is globally Hölder continuous. The proofs are based on estimates of fractional harmonic measure decay and uniform fractional fatness of the complement of the domain. |
| title | Hölder extension for fractional Laplacian |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.12134 |