Large time behavior of heat kernels on forms

2005/06/13 by Thierry Coulhon, Qi S. Zhang, Coulhon, Thierry +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.DG #msc:58J35

paper · pdf · doi:10.48550/arxiv.math/0506252

arxiv created 2005/06/13 · arxiv updated 2009/12/01

Abstract

We derive large time upper bounds for heat kernels on vector bundles of differential forms on a class of non-compact Riemannian manifolds under certain curvature conditions.

Citations

• Differential equations on riemannian manifolds and their geometric applications

Cited by

• L^p-Boundedness of the Covariant Riesz Transform on Differential Forms for p>2

Related

• Large time behavior of the on-diagonal heat kernel for minimal submanifolds with polynomial volume growth
• Asymptotic behavior of the heat semigroup on certain Riemannian manifolds
• Spectral bounds and heat kernel upper estimates for Dirichlet forms
• Gaussian heat kernel estimates: from functions to forms
• Heat kernel asymptotics for Laplace type operators and matrix KdV hierarchy