Harnack Inequalities and Hölder Estimates for Master Equations

DOI10.1137/20M1339520zbMath1462.35103arXiv1806.10072MaRDI QIDQ4985462

Marta De León-Contreras, Animesh Biswas, Pablo Raúl Stinga

Publication date: 23 April 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10072

zbMATH Keywords

master equationsmethod of semigroupsdegenerate parabolic extension problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (3)

Borderline gradient continuity for fractional heat type operators ⋮ Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games ⋮ On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients

Cites Work

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• Maximum principles, extension problem and inversion for nonlocal one-sided equations
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• On the behavior of the solutions of degenerate parabolic equations
• Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation
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