We study a parabolic equation for the fractional p-Laplacian of order s, for \(p\ge 2\) and \(0<s<1\). We provide space-time Hölder estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of Moser’s technique.

中文翻译：

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非线性分数阶扩散方程解的连续性

我们研究了s阶分数p -拉普拉斯算子的抛物线方程，用于\(p\ge 2\)和\(0<s<1\)。我们为弱解提供时空 Hölder 估计，并带有显式指数。本着 Moser 技术的精神，这些证明基于方程的迭代离散微分。