Gradient estimates for the heat kernels in higher dimensional Heisenberg groups

DOI10.1007/s11401-009-0198-yzbMath1202.58018OpenAlexW1970796929MaRDI QIDQ606343

Bin Qian

Publication date: 17 November 2010

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-009-0198-y

zbMATH Keywords

Heisenberg groupheat kernelsgradient estimates\(\Gamma _{2}\) curvaturesublaplace

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

Estimations Asymptotiques du Noyau de la Chaleur Pour L'opérateur de Grushin ⋮ Positive curvature property for sub-Laplacian on nilpotent Lie group of rank two ⋮ Asymptotic estimates on the time derivative of \(\Phi\)-entropy on Riemannian manifolds ⋮ On Mean Value formulas for solutions to second order linear PDEs ⋮ Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*

Cites Work

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• Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg
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• Geometric Inequalities and Generalized Ricci Bounds in the Heisenberg Group
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• The geometry of Markov diffusion generators

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