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

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arxiv 2205.09695 v2 pith:XV4GDRIH submitted 2022-05-19 math.AP

Karthik Adimurthi , Harsh Prasad , Vivek Tewary This is my paper · ORCID
classification math.AP
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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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Cited by 4 Pith papers

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