An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators. While the study of the heat equation is a classical subject, this book analyses the improvements in our quantitative understanding of heat kernels. The author considers variable coefficient operators on regions in Euclidean space and Laplace-Beltrami operators on complete Riemannian manifolds. He also includes results pertaining to the heat kernels of Schrödinger operators; such results will be of particular interest to mathematical physicists, and relevant too to those concerned with properties of Brownian motion and other diffusion processes.
| ISBN: | 9780521409971 |
| Publication date: | 30th November 1990 |
| Author: | E B Davies |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 208 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Probability and statistics Functional analysis and transforms |