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Functional inequalities Markov semigroups and spectral theory / Feng-Yu Wang

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Dang dai jie chu qing nian ke xue wen kuPublisher: Amsterdam : Elsevier Academic Press, 2005Description: Online RessourceISBN:
  • 9780080449425
  • 0080449425
  • 7030144155
Subject(s): Additional physical formats: 0080449425 | 7030144155 | Erscheint auch als: Functional inequalities, Markov semigroups and spectral theory. Druck-Ausgabe. Beijing [u.a.] : Science Press, 2005. VIII, 379 S.DDC classification:
  • 515/.26
  • 515/.7
RVK: RVK: SK 620LOC classification:
  • QA295
  • QA320
Online resources:
Contents:
Chapter 0: PreliminariesChapter 1 Poinc̀re 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 .
Summary: Chapter 0: Preliminaries -- Chapter 1 Poinc̀re 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 -- IndexSummary: 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 inequalityPPN: PPN: 1645854396Package identifier: Produktsigel: BSZ-33-ECE | ZDB-1-ELC | BSZ-33-EBS-HSAA | GBV-33-EBS-MRI | GBV-33-EBS-ZHB | GBV-33-Freedom-BL | BSZ-33-EBS-C1UB | ZDB-33-EBS | ZDB-33-ESD | ZDB-33-MTC
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Online-Ausg. Amsterdam : Elsevier Science & Technology. Online-Ressource. (ScienceDirect)

English

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