On the modulus of continuity of solutions to nonlocal parabolic equations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913184695189504 |
|---|---|
| author | Liao, Naian |
| author_facet | Liao, Naian |
| contents | A general modulus of continuity is quantified for locally bounded, local, weak solutions to nonlocal parabolic equations, under a minimal tail condition. Hölder modulus of continuity is then deduced under a slightly stronger tail condition. These regularity estimates are demonstrated under the framework of nonlocal $p$-Laplacian with measurable kernels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01816 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the modulus of continuity of solutions to nonlocal parabolic equations Liao, Naian Analysis of PDEs A general modulus of continuity is quantified for locally bounded, local, weak solutions to nonlocal parabolic equations, under a minimal tail condition. Hölder modulus of continuity is then deduced under a slightly stronger tail condition. These regularity estimates are demonstrated under the framework of nonlocal $p$-Laplacian with measurable kernels. |
| title | On the modulus of continuity of solutions to nonlocal parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.01816 |