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 Schroedinger 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.

Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.

Book Information
ISBN 9780521409971
Author E. B. Davies
Format Paperback
Page Count 208
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 323g
Dimensions(mm) 227mm * 150mm * 13mm