Higher Hölder regularity for a subquadratic nonlocal parabolic equation

2024/04/25 by Garain, Prashanta, Lindgren, Erik, Tavakoli, Alireza
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.16640

Abstract

In this paper, we are concerned with the Hölder regularity for solutions of the nonlocal evolutionary equation ∂_t u+(-Δ_p)^s u = 0. Here, (-Δ_p)^s is the fractional p-Laplacian, 0

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• Hölder regularity for parabolic fractional p-Laplacian
• Higher Hölder regularity for nonlocal parabolic equations with irregular kernels
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• Higher Hölder regularity for the fractional p-Laplace equation in the subquadratic case