An explicit full solution to the heat equation on the two-sphere is given. 10 1984 Academic Press, Inc.
The heat kernel on the two-sphere
โ Scribed by Hans R. Fischer; Jerry J. Jungster; Floyd L. Williams
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 308 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For n 2, let (+ x {, n ) { 0 be the distributions of the Brownian motion on the unit sphere S n /R n+1 starting in some point x # S n . This paper supplements results of Saloff-Coste concerning the rate of convergence of + x {, n to the uniform distribution U n on S n for { ร depending on the dimens
Institute for Advanced Study ## 0. Introduction In this note we give an estimate from below for the fundamental solution of the heat equation on an open metric ball BR(x), of radius R, in a Riemannian manifold M". We assume that, for all r < R, B,(x) is compact. The estimate is in the form of a co