Heat Kernels and Spectral Theory

ISBN-10: 0521409977
ISBN-13: 9780521409971
Edition: N/A
Authors: E. B. Davies
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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  More...

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Book details

List price: $67.00
Publisher: Cambridge University Press
Publication date: 11/30/1990
Binding: Paperback
Pages: 208
Size: 6.00" wide x 8.75" long x 0.75" tall
Weight: 0.682
Language: English

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 sets a precedent in that it is the first account of dramatic recent 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 Schrdinger 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.

Preface
Introductory concepts
Logarithmic Sobolev inequalities
Gaussian bounds on heat kernels
Boundary behaviour
Riemannian manifolds
References
Notation index
Index

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