Large time estimates for non-symmetric heat kernel on the affine group

DOI10.5802/ambp.150zbMath1009.22009OpenAlexW2320478916MaRDI QIDQ699502

Camillo Melzi

Publication date: 6 April 2003

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2002__9_1_63_0

zbMATH Keywords

heat kernelaffine groupLaplacian with driftlarge time upper estimate

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

• Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
• Small time Gaussian estimates of heat diffusion kernels. II: The theory of large deviations
• Balls and metrics defined by vector fields. I: Basic properties
• Semi-Groups of Measures on Lie Groups
• Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
• STABILIZATION OF SOLUTIONS OF THE THIRD MIXED PROBLEM FOR A SECOND ORDER PARABOLIC EQUATION IN A NONCYLINDRICAL DOMAIN
• Gaussian estimates for heat kernels on Lie groups
• Analysis on Lie groups
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