Buch, Englisch, Band 92, 208 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 346 g
Buch, Englisch, Band 92, 208 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 346 g
Reihe: Cambridge Tracts in Mathematics
ISBN: 978-0-521-40997-1
Verlag: Cambridge University Press
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.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
Weitere Infos & Material
Preface; 1. Introductory concepts; 2. Logarithmic Sobolev inequalities; 3. Gaussian bounds on heat kernels; 4. Boundary behaviour; 5. Riemannian manifolds; References; Notation index; Index.
