Heat Kernels and Spectral Theory by E B Davies

Heat Kernels and Spectral Theory by E B Davies

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Résumé

Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators.

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Heat Kernels and Spectral Theory by E B Davies

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.

E Brian Davies, Tutorial Fellow at St John's College, Oxford in 1970 and one of two editors for the Quarterly Journal of Mathematics, Oxford. Developed the theory of open quantum systems, writing a monograph on the subject, which became the standard text. Appointed to the Chair of Pure Mathematics
at King's College, London in 1981 and researched heat kernels and spectral theory. Subsequently became a Fellow of the Royal Society in 1995. His monograph on heat kernels, involving several hundred publications and having applications in many parts of mathematics, is the authoritative text on the
subject. Founded the London Mathematical Society Student Text Series in the 1980s, and has recently become Senior Editor for the LMS Monographs. Has previously been a member of the National Advisory Board of the Isaac Newton Institute and sat on the Research Assessment Exercise Panel for Pure
Mathematics in 2001. Published over 180 papers.
SKU Non disponible
ISBN 13 9780521409971
ISBN 10 0521409977
Titre Heat Kernels and Spectral Theory
Auteur E B Davies
Série Cambridge Tracts In Mathematics
État Non disponible
Type de reliure Paperback
Éditeur Cambridge University Press
Année de publication 1990-11-30
Nombre de pages 208
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible