A note on Harnack inequalities and propagation sets for a class of hypoelliptic operators

DOI10.1007/s11118-010-9172-2zbMath1207.35102OpenAlexW2040935429MaRDI QIDQ711717

Chiara Cinti, Kaj Nyström, Sergio Polidoro

Publication date: 27 October 2010

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-010-9172-2

zbMATH Keywords

Bony's minimum principle

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (13)

Kolmogorov-Fokker-Planck equations: comparison principles near Lipschitz type boundaries ⋮ On the structure of the singular set for the kinetic Fokker–Planck equations in domains with boundaries ⋮ Harnack inequality for hypoelliptic second order partial differential operators ⋮ The A-property of the Kolmogorov measure ⋮ Quantitative spectral gaps for hypoelliptic stochastic differential equations with small noise ⋮ Pointwise and weighted Hessian estimates for Kolmogorov-Fokker-Planck-type operators ⋮ Sharp Harnack inequalities for a family of hypoelliptic diffusions ⋮ Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions ⋮ A matrix differential Harnack estimate for a class of ultraparabolic equations ⋮ A boundary estimate for non-negative solutions to Kolmogorov operators in non-divergence form ⋮ Two-sided bounds for degenerate processes with densities supported in subsets of \(\mathbb R^N\) ⋮ Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients ⋮ A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients

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