## Gaussian Upper Bounds For The Heat Kernel On Arbitrary Manifolds (1997)

by
Alexander Grigor'yan

Citations: | 35 - 2 self |

### BibTeX

@MISC{Grigor'yan97gaussianupper,

author = {Alexander Grigor'yan},

title = {Gaussian Upper Bounds For The Heat Kernel On Arbitrary Manifolds},

year = {1997}

}

### Years of Citing Articles

### OpenURL

### Abstract

In this paper, we develop a universal way of obtaining Gaussian upper bounds of the heat kernel on Riemannian manifolds. By the word "Gaussian" we mean those estimates which contain a Gaussian exponential factor similar to one which enters the explicit formula for the heat kernel of the conventional Laplace operator in R...