Heat Kernels and Spectral Theory (Cambridge Tracts in Mathematics, Series Number 92) - Softcover

Davies, E. B.

Softcover

ISBN 10: 0521409977 ISBN 13: 9780521409971

Publisher: Cambridge University Press, 1990

Synopsis

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.

About this title

Book Description

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.

Review

."..very well written; it gives an impressive report on an exciting field of current research, which has been substantially influenced by the author's own contributions." Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 1990
• Language: English
• ISBN 10: 0521409977
• ISBN 13: 9780521409971
• Binding: Paperback
• Number of pages: 208