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arXiv · 2205.09695

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

Karthik Adimurthi·Harsh Prasad·Vivek Tewary
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Abstract

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 $s \in (0,1)$.

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Karthik Adimurthi, Harsh Prasad, Vivek Tewary. 2022-05-19. Local H\"older regularity for nonlocal parabolic $p$-Laplace equations. https://arxiv.org/abs/2205.09695

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