A proof of Hörmander's theorem for sublaplacians on Carnot groups

DOI10.1016/j.na.2015.02.021zbMath1333.35005OpenAlexW2039361728MaRDI QIDQ494198

Marco Bramanti, Luca Brandolini

Publication date: 31 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10446/55969

zbMATH Keywords

sub-Riemannian geometrysub-LaplacianCarnot groupshypoelliptic operatorsHörmander's hypoellipticity theorem

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Hypoelliptic equations (35H10) Sub-Riemannian geometry (53C17) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

Space regularity for evolution operators modeled on Hörmander vector fields with time dependent measurable coefficients

Cites Work

• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Hypoelliptic second order differential equations
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
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