Heat kernels and spectral theory /
Davies, E. B.
Heat kernels and spectral theory / Heat Kernels & Spectral Theory E.B. Davies. - Cambridge : Cambridge University Press, 1989. - 1 online resource (ix, 197 pages) : digital, PDF file(s). - Cambridge tracts in mathematics ; 92 . - Cambridge tracts in mathematics ; 92. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511566158 (ebook)
Elliptic operators.
Heat equation.
Spectral theory (Mathematics)
QA329.42 / .D38 1989
515.7/242
Heat kernels and spectral theory / Heat Kernels & Spectral Theory E.B. Davies. - Cambridge : Cambridge University Press, 1989. - 1 online resource (ix, 197 pages) : digital, PDF file(s). - Cambridge tracts in mathematics ; 92 . - Cambridge tracts in mathematics ; 92. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511566158 (ebook)
Elliptic operators.
Heat equation.
Spectral theory (Mathematics)
QA329.42 / .D38 1989
515.7/242