Degenerate diffusion operators arising in population biology /

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This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniq...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Epstein, Charles L.
Other Authors: Mazzeo, Rafe
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2013.
Series:Annals of mathematics studies ; number 185
Subjects:
Elliptic operators.
Markov processes.
Population biology > Mathematical models.
Biowissenschaften, Biologie.
Opérateurs elliptiques.
Processus de Markov.
Biologie des populations > Modèles mathématiques.
NATURE > Ecology.
NATURE > Ecosystems & Habitats > Wilderness.
SCIENCE > Environmental Science.
SCIENCE > Life Sciences > Ecology.
MATHEMATICS > Differential Equations > General.
Elliptic operators
Markov processes
Population biology > Mathematical models
Online Access:Texto completo
Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1. Introduction
  • Chapter 2. Wright-Fisher Geometry
  • Chapter 3. Maximum Principles and Uniqueness Theorems
  • Chapter 4. The Model Solution Operators
  • Chapter 5. Degenerate Hölder Spaces
  • Chapter 6. Hölder Estimates for the 1-dimensional Model Problems
  • Chapter 7. Hölder Estimates for Higher Dimensional Corner Models
  • Chapter 8. Hölder Estimates for Euclidean Models
  • Chapter 9. Hölder Estimates for General Models
  • Chapter 10. Existence of Solutions
  • Chapter 11. The Resolvent Operator
  • Chapter 12. The Semi-group on ℂ°(P)
  • Appendix A: Proofs of Estimates for the Degenerate 1-d Model
  • Bibliography
  • Index.

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