Continuity of solutions to a nonlinear fractional diffusion equation
Lorenzo Brasco, Erik Lindgren, Martin Strömqvist
2021Institutional Research Information System University of Ferrara (University of Ferrara)33 citationsDOIOpen Access PDF
Abstract
We study a parabolic equation for the fractional p-Laplacian of order s, for p≥ 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.
Topics & Concepts
AlgorithmMathematicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems