Wiener-Landis criterion for Kolmogorov-type operators

DOI10.3934/dcds.2018102zbMath1393.35011arXiv1701.01073OpenAlexW2584235545WikidataQ130094817 ScholiaQ130094817MaRDI QIDQ1661072

Ermanno Lanconelli, Giulio Tralli, Alessia Elisabetta Kogoj

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01073

zbMATH Keywords

Wiener testboundary regularityKolmogorov operatorspotential analysisPerron-Wiener solution

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Hypoelliptic equations (35H10) Potentials and capacities on other spaces (31C15)

Related Items (5)

Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form ⋮ Functional inequalities for a class of nonlocal hypoelliptic equations of Hörmander type ⋮ On a non-smooth potential analysis for Hörmander-type operators ⋮ A Wiener test à la Landis for evolutive Hörmander operators ⋮ On the Dirichlet problem in cylindrical domains for evolution Oleǐnik-Radkevič PDE's: a Tikhonov-type theorem

Cites Work

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• Wiener-type tests from a two-sided Gaussian bound
• On the Dirichlet problem for hypoelliptic evolution equations: Perron-Wiener solution and a cone-type criterion
• Wiener's criterion for divergence form parabolic operators with \(C^ 1\)- Dini continuous coefficients
• Potential analysis for a class of diffusion equations: a Gaussian bounds approach
• Riesz and Poisson-Jensen representation formulas for a class of ultraparabolic operators on Lie groups
• Sulproblema di Dirichlet per l'equazione del calore
• The Dirichlet problem for a class of ultraparabolic equations
• Fundamental solutions of certain degenerate second-order parabolic equations
• Wiener's criterion for the heat equation
• Hypoelliptic second order differential equations
• Wiener's Criterion for Parabolic Equations with Variable Coefficients and Its Consequences
• Level Sets of the Fundamental Solution and Harnack Inequality for Degenerate Equations of Kolmogorov Type

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