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Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo
| Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo |
| Autore | Epstein Charles L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 577.8/801519233 |
| Altri autori (Persone) | MazzeoRafe |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Elliptic operators
Markov processes Population biology - Mathematical models |
| Soggetto non controllato |
1-dimensional integral
Euclidean model problem Euclidean space Hlder space Hopf boundary point Kimura diffusion equation Kimura diffusion operator Laplace transform Schauder estimate WrightІisher geometry adjoint operator backward Kolmogorov equation boundary behavior degenerate elliptic operator doubling elliptic Kimura operator elliptic equation forward Kolmogorov equation function space general model problem generalized Kimura diffusion heat equation heat kernel higher dimensional corner higher regularity holomorphic semi-group homogeneous Cauchy problem hybrid space hypersurface boundary induction hypothesis induction inhomogeneous problem irregular solution long time asymptotics long-time behavior manifold with corners martingale problem mathematical finance model problem normal form normal vector null-space off-diagonal behavior open orthant parabolic equation perturbation theory polyhedron population genetics probability theory regularity resolvent operator semi-group solution operator uniqueness |
| ISBN |
1-4008-4718-4
1-299-05145-6 1-4008-4610-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part I. Wright-Fisher Geometry and the Maximum Principle -- Chapter 2. Wright-Fisher Geometry -- Chapter 3. Maximum Principles and Uniqueness Theorems -- Part II. Analysis of Model Problems -- 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 -- Part III. Analysis of Generalized Kimura Diffusions -- 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 |
| Record Nr. | UNINA-9910786024003321 |
Epstein Charles L
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo
| Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo |
| Autore | Epstein Charles L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 577.8/801519233 |
| Altri autori (Persone) | MazzeoRafe |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Elliptic operators
Markov processes Population biology - Mathematical models |
| Soggetto non controllato |
1-dimensional integral
Euclidean model problem Euclidean space Hlder space Hopf boundary point Kimura diffusion equation Kimura diffusion operator Laplace transform Schauder estimate WrightІisher geometry adjoint operator backward Kolmogorov equation boundary behavior degenerate elliptic operator doubling elliptic Kimura operator elliptic equation forward Kolmogorov equation function space general model problem generalized Kimura diffusion heat equation heat kernel higher dimensional corner higher regularity holomorphic semi-group homogeneous Cauchy problem hybrid space hypersurface boundary induction hypothesis induction inhomogeneous problem irregular solution long time asymptotics long-time behavior manifold with corners martingale problem mathematical finance model problem normal form normal vector null-space off-diagonal behavior open orthant parabolic equation perturbation theory polyhedron population genetics probability theory regularity resolvent operator semi-group solution operator uniqueness |
| ISBN |
1-4008-4718-4
1-299-05145-6 1-4008-4610-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part I. Wright-Fisher Geometry and the Maximum Principle -- Chapter 2. Wright-Fisher Geometry -- Chapter 3. Maximum Principles and Uniqueness Theorems -- Part II. Analysis of Model Problems -- 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 -- Part III. Analysis of Generalized Kimura Diffusions -- 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 |
| Record Nr. | UNINA-9910814832803321 |
|
Epstein Charles L
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||