A Zaremba-type criterion for hypoelliptic degenerate Ornstein-Uhlenbeck operators

DOI10.3934/dcdss.2020112zbMath1455.35059OpenAlexW2982618075MaRDI QIDQ827511

Alessia Elisabetta Kogoj

Publication date: 12 January 2021

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

Full work available at URL: https://doi.org/10.3934/dcdss.2020112

zbMATH Keywords

Dirichlet problemboundary regularityexterior cone criterionPerron-Wiener solutionaxiomatic potential theory

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Axiomatic potential theory (31D05) Hypoelliptic equations (35H10)

Related Items (1)

On the Dirichlet problem in cylindrical domains for evolution Oleǐnik-Radkevič PDE's: a Tikhonov-type theorem

Cites Work

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• Harnack inequality for hypoelliptic second order partial differential operators
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• Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators
• On the Dirichlet problem for hypoelliptic evolution equations: Perron-Wiener solution and a cone-type criterion
• Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures
• Riesz and Poisson-Jensen representation formulas for a class of ultraparabolic operators on Lie groups
• Null-controllability of non-autonomous Ornstein-Uhlenbeck equations
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Weighted Hardy's inequality and the Kolmogorov equation perturbed by an inverse-square potential

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