Calculus of Variations and Geometric Measure Theory
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L. Brasco - E. Lindgren - M. Stromqvist

Continuity of solutions to a nonlinear fractional diffusion equation

created by brasco on 01 Jul 2019



Inserted: 1 jul 2019
Last Updated: 1 jul 2019

Pages: 45
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.


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