• ISBN13: 9780521409971
• Binding: Paperback
• Subject: Mathematics and Statistics
• Publisher: Cambridge University Press
• Publisher Imprint: Cambridge University Press
• Publication Date: January 1, 1990
• Pages: 208
• Original Price: USD 67.99
• Language: English
• Edition: N/A
• Item Weight: 313 grams
• BISAC Subject(s): Differential Equations / General and Mathematical Analysis

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.