Calculus of Variations and Geometric Measure Theory

L. Brasco - E. Lindgren - M. Stromqvist

Continuity of solutions to a nonlinear fractional diffusion equation

created by brasco on 01 Jul 2019
modified on 18 May 2021


Accepted Paper

Inserted: 1 jul 2019
Last Updated: 18 may 2021

Journal: J. Evol. Equ.
Pages: 46
Year: 2019


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.