H\"older regularity results for parabolic nonlocal double phase problems
Résumé
In this article, we obtain higher H\"older regularity results for the weak solutions to nonlocal problems driven by the fractional double phase operator,
\begin{align*}
\mc L u(x):=&2 \; {\rm P.V.} \int_{\mathbb R^N} \frac{|u(x)-u(y)|^{p-2}(u(x)-u(y))}{|x-y|^{N+ps_1}}dy \nonumber \\
&+2 \; {\rm P.V.} \int_{\mathbb R^N} a(x,y) \frac{|u(x)-u(y)|^{q-2}(u(x)-u(y))}{|x-y|^{N+qs_2}}dy,
\end{align*}
where $1
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https://hal.science/hal-04217768
Soumis le : mardi 26 septembre 2023-09:45:25
Dernière modification le : vendredi 29 mars 2024-13:22:21
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- HAL Id : hal-04217768 , version 1
Citer
Jacques Giacomoni, Deepak Kumar, Konijeti Sreenadh. H\"older regularity results for parabolic nonlocal double phase problems. Advances in Differential Equations, In press. ⟨hal-04217768⟩
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