arXiv:1907.00910 Abstract | arXiv Analytics

arXiv:1907.00910 [math.AP]Abstract References Reviews Resources

Continuity of solutions to a nonlinear fractional diffusion equation

Lorenzo Brasco, Erik Lindgren, Martin Strömqvist

Published 2019-07-01Version 1

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.

Comments: 45 pages

Categories: math.AP

Subjects: 35K55, 35K65, 35R11

Keywords: nonlinear fractional diffusion equation, continuity, parabolic equation, weak solutions, explicit exponents

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