TY  - BOOK
AU  - Davies,E.B.
TI  - Heat kernels and spectral theory
T2  - Cambridge tracts in mathematics
SN  - 9780511566158 (ebook)
AV  - QA329.42 .D38 1989
U1  - 515.7/242 19
PY  - 1989///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Elliptic operators
KW  - Heat equation
KW  - Spectral theory (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511566158
ER  -