Gaussian estimates for hypoelliptic operators via optimal control

DOI10.4171/RLM/499zbMath1146.35026MaRDI QIDQ931052

Sergio Polidoro, Ugo V. Boscain

Publication date: 24 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Lie groupsoptimal control theoryGaussian boundshypoelliptic equationsoperators of sum-of-squares type

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

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Cites Work

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• Hypoelliptic second order differential equations
• An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
• Link of groups and homogeneous Hörmander operators
• A harnack inequality for parabolic differential equations
• Bounds for the fundamental solution of a parabolic equation

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