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Article Dans Une Revue Advances in Differential Equations Année : 2023

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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Dates et versions

hal-04217768 , version 1 (26-09-2023)

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  • HAL Id : hal-04217768 , version 1

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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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