Local Hölder regularity for nonlocal parabolic $p$-Laplace equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866914629852069888 |
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| author | Adimurthi, Karthik Prasad, Harsh Tewary, Vivek |
| author_facet | Adimurthi, Karthik Prasad, Harsh Tewary, Vivek |
| contents | We prove local Hölder regularity for a nonlocal parabolic equations of the form \begin{align*}
\partial_t u + \text{P.V.}\int_{\mathbb{R}^N} \frac{|u(x,t)-u(y,t)|^{p-2}(u(x,t)-u(y,t))}{|x-y|^{N+sp}}\,dy=0, \end{align*} for $p\in (1,\infty)$ and $s \in (0,1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_09695 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Local Hölder regularity for nonlocal parabolic $p$-Laplace equations Adimurthi, Karthik Prasad, Harsh Tewary, Vivek Analysis of PDEs 35K92, 35B65, 35K51, 35A01, 35A15, 35R11 We prove local Hölder regularity for a nonlocal parabolic equations of the form \begin{align*} \partial_t u + \text{P.V.}\int_{\mathbb{R}^N} \frac{|u(x,t)-u(y,t)|^{p-2}(u(x,t)-u(y,t))}{|x-y|^{N+sp}}\,dy=0, \end{align*} for $p\in (1,\infty)$ and $s \in (0,1)$. |
| title | Local Hölder regularity for nonlocal parabolic $p$-Laplace equations |
| topic | Analysis of PDEs 35K92, 35B65, 35K51, 35A01, 35A15, 35R11 |
| url | https://arxiv.org/abs/2205.09695 |