Precise estimates for the subelliptic heat kernel on H-type groups
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Publication:923874
DOI10.1016/j.matpur.2009.04.011zbMath1178.35096arXiv0810.3218OpenAlexW2063481197MaRDI QIDQ923874
Publication date: 24 July 2009
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.3218
A priori estimates in context of PDEs (35B45) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)
Related Items
The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas ⋮ Large time behavior for the heat equation on Carnot groups ⋮ Asymptotics for the heat kernel on H-type groups ⋮ Couplings in \(L^p\) distance of two Brownian motions and their Lévy area ⋮ From \(U\)-bounds to isoperimetry with applications to H-type groups ⋮ The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues ⋮ On the H.-Q. Li inequality on step-two Carnot groups ⋮ Nonlocal heat equations in the Heisenberg group ⋮ Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups ⋮ Spectral inequalities for operators on \(H\)-type groups ⋮ Short-time asymptotics of heat kernels of hypoelliptic Laplacians on unimodular Lie groups ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds. III: Asymptotics for a codimension 2 case in \({\mathbb{C}}^4\) ⋮ Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups ⋮ Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups* ⋮ Analysis on extended Heisenberg group ⋮ Gradient estimates for the heat semigroup on \(\mathbb H\)-type groups ⋮ The subelliptic heat kernel of the octonionic anti-de Sitter fibration ⋮ Hypoelliptic heat kernels on infinite-dimensional Heisenberg groups ⋮ Spectral zeta function of the sub-Laplacian on two step nilmanifolds ⋮ Analysis on quadrics ⋮ Gradient estimates for the subelliptic heat kernel on H-type groups ⋮ AN UNCERTAINTY PRINCIPLE FOR SOLUTIONS OF THE SCHRÖDINGER EQUATION ON -TYPE GROUPS
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