Revisiting the heat kernel on isotropic and nonisotropic Heisenberg groups*
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Publication:5742603
DOI10.1080/03605302.2019.1581802zbMath1471.58029arXiv1809.09029OpenAlexW2890762653MaRDI QIDQ5742603
Publication date: 15 May 2019
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.09029
Asymptotic behavior of solutions to PDEs (35B40) Harmonic analysis on homogeneous spaces (43A85) A priori estimates in context of PDEs (35B45) Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37) Heat kernel (35K08)
Related Items (3)
Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups ⋮ On the H.-Q. Li inequality on step-two Carnot groups ⋮ A note on the heat kernel for the rescaled harmonic oscillator from two step nilpotent Lie groups
Cites Work
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- Dispersive estimates for the Schrödinger operator on step-2 stratified Lie groups
- Positive curvature property for sub-Laplacian on nilpotent Lie group of rank two
- A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
- Sharp \(L^p\) bounds for the wave equation on groups of Heisenberg type
- Positive curvature property for some hypoelliptic heat kernels
- Gradient estimates for the heat kernels in higher dimensional Heisenberg groups
- The subelliptic heat kernels on \(\mathbf{SL}(2,\mathbb{R})\) and on its universal covering \(\widetilde{\mathbf{SL}(2,\mathbb{R})}\): Integral representations and some functional inequalities
- Gradient estimates for the heat semigroup on \(\mathbb H\)-type groups
- Small time Gaussian estimates of heat diffusion kernels. II: The theory of large deviations
- Small-time asymptotic estimates in local Dirichlet spaces
- Asymptotic estimates for the heat kernel on Heisenberg groups
- Precise estimates for the subelliptic heat kernel on H-type groups
- On gradient bounds for the heat kernel on the Heisenberg group
- The subelliptic heat kernel on \(\mathbf{SU}(2)\): representations, asymptotics and gradient bounds
- Gradient estimates for the subelliptic heat kernel on H-type groups
- Coercive inequalities on metric measure spaces
- Majoration en temps petit de la densité d'une diffusion dégénérée
- Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary
- Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
- Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
- Riesz transform, Gaussian bounds and the method of wave equation
- On spectral multipliers for Heisenberg and related groups
- About Riesz transforms on the Heisenberg groups
- Small-time heat kernel asymptotics at the sub-Riemannian cut locus
- Ornstein-Uhlenbeck semi-groups on stratified groups
- Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg
- Spectral multipliers on 2-step groups: topological versus homogeneous dimension
- Estimations Asymptotiques du Noyau de la Chaleur Pour L'opérateur de Grushin
- Estimations optimales du noyau de la chaleur sur les groupes de type Heisenberg
- Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus
- SHARP HEAT KERNEL BOUNDS FOR SOME LAPLACE OPERATORS
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
- Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups
- Dispersive and Strichartz estimates on H-type groups
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- A simple-minded computation of heat kernels on Heisenberg groups
- Analysis and Geometry of Markov Diffusion Operators
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- The geometry of Markov diffusion generators
- Singular integrals with flag kernels and analysis on quadratic CR manifolds
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