Continuity of solutions to a nonlinear fractional diffusion equation

Published 1 Jul 2019 in math.AP | (1907.00910v1)

Abstract: 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 H\"older estimates for weak solutions, with explicit exponents. The proofs are based on iterated discrete differentiation of the equation in the spirit of J. Moser.

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