Functional Inequalities Markov Semigroups and Spectral Theory
- 1st Edition - April 6, 2006
- Latest edition
- Author: Fengyu Wang
- Language: English
In this book, the functional inequalities are introduced to describe:(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle… Read more
In this book, the functional inequalities are introduced to describe:(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.
mathematicians, libraries, departments of mathematics
Chapter 0: Preliminaries
Chapter 1 Poincáre Inequality and Spectral Gap
Chapter 2 Diffusion Processes on Manifolds and Applications
Chapter 3 Functional Inequalities and Essential Spectrum
Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups
Chapter 5 Log-Sobolev Inequalities and Semigroup Properties
Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities
Chapter 7 Some Infinite Dimensional Models
Bibliography
Index
Chapter 1 Poincáre Inequality and Spectral Gap
Chapter 2 Diffusion Processes on Manifolds and Applications
Chapter 3 Functional Inequalities and Essential Spectrum
Chapter 4: Weak Poincare Inequalities and Convergence of Semigroups
Chapter 5 Log-Sobolev Inequalities and Semigroup Properties
Chapter 6 Interpolations of Poincare and Log-Sobolev Inequalities
Chapter 7 Some Infinite Dimensional Models
Bibliography
Index
- Edition: 1
- Latest edition
- Published: April 6, 2006
- Language: English
FW
Fengyu Wang
Affiliations and expertise
School of Mathematical Sciences, Beijing Normal UniversityRead Functional Inequalities Markov Semigroups and Spectral Theory on ScienceDirect