Titre: Heat Kernels and Spectral Theory (Cambridge Tracts in Mathematics, Series Number 92)
�diteur: Cambridge University Press
Date de parution: 1990
Langue: anglais
ISBN � 10 chiffres: 0521409977
ISBN � 13 chiffres: 9780521409971
Reliure: Couverture souple
�tat de l'article: New

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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 Schr�dinger 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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