Degenerate diffusion operators arising in population biology /
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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton :
Princeton University Press,
2013.
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Colección: | Annals of mathematics studies ;
number 185 |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.