Functional Inequalities Markov Semigroups and Spectral Theory

1st Edition

Authors: Fengyu Wang
Hardcover ISBN: 9780080449425
eBook ISBN: 9780080532073
Imprint: Elsevier Science
Published Date: 24th February 2006
Page Count: 379
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Table of Contents

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


Description

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.

Readership

mathematicians, libraries, departments of mathematics


Details

No. of pages:
379
Language:
English
Copyright:
© Elsevier Science 2005
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080532073
Hardcover ISBN:
9780080449425

About the Authors

Fengyu Wang Author

Affiliations and Expertise

School of Mathematical Sciences, Beijing Normal University