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Heat Kernels and Spectral Theory

Heat Kernels and Spectral Theory by E. B. Davies
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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.
Cambridge University Press; November 1990
209 pages; ISBN 9780511874826
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Title: Heat Kernels and Spectral Theory
Author: E. B. Davies
 
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