Heat Kernels and Spectral Theory

by Edward Davies

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 Schr dinger 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.

• Format: Paperback
• Language: English
• ISBN: 0521409977
• ISBN13: 9780521409971
• Release Date: November 1990
• Publisher: Cambridge University Press
• Length: 208 Pages
• Weight: 0.69 lbs.
• Dimensions: 0.5" x 6.0" x 9.0"