Heat Kernels and Spectral Theory
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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 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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $67.00
Publisher: Cambridge University Press
Publication date: 11/30/1990
Size: 6.00" wide x 8.75" long x 0.75" tall
|Logarithmic Sobolev inequalities|
|Gaussian bounds on heat kernels|