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Heat Kernels and Spectral Theory : Cambridge Tracts in Mathematics (Paperback) - E. B. Davies

Heat Kernels and Spectral Theory

Cambridge Tracts in Mathematics (Paperback)

Paperback Published: 15th April 1991
ISBN: 9780521409971
Number Of Pages: 208

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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 Schrodinger 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."

Introductory concepts
Logarithmic Sobolev inequalities
Gaussian bounds on heat kernels
Boundary behaviour
Riemannian manifolds
Notation index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521409971
ISBN-10: 0521409977
Series: Cambridge Tracts in Mathematics (Paperback)
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 208
Published: 15th April 1991
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.22
Weight (kg): 0.31