Local H\'older regularity for nonlocal parabolic $p$-Laplace equations

Autor:	Adimurthi, Karthik, Prasad, Harsh, Tewary, Vivek
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 35K92 35B65 35K51 35A01 35A15 35R11
Druh dokumentu:	Working Paper
Popis:	We prove local H\"older 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 $s \in (0,1)$. Comment: Typos corrected and covering argument has been updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.09695 Zobrazit plný text záznamu View this record from Arxiv