Heat Kernels and Spectral Theory

Paperback / softback

Main Details

Title Heat Kernels and Spectral Theory
Authors and Contributors      By (author) E. B. Davies
SeriesCambridge Tracts in Mathematics
Physical Properties
Format:Paperback / softback
Pages:208
Dimensions(mm): Height 227,Width 150
Category/GenreProbability and statistics
ISBN/Barcode 9780521409971
ClassificationsDewey:515.7242
Audience
Professional & Vocational
Illustrations Worked examples or Exercises

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 30 November 1990
Publication Country United Kingdom

Description

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.