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New Developments in the Analysis of Nonlocal Operators
This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28-30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Over the last decade there has been a resurgence of interest in problems involving nonloc...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 020 | |a 9781470451516 | ||
| 020 | |a 1470451514 | ||
| 035 | |a (OCoLC)1090011281 | ||
| 050 | 4 | |a QA329 |b .N49 2019 | |
| 082 | 0 | 4 | |a 515.724 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Danielli, Donatella. | |
| 245 | 1 | 0 | |a New Developments in the Analysis of Nonlocal Operators |
| 260 | |a Providence : |b American Mathematical Society, |c 2019. | ||
| 300 | |a 1 online resource (226 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary Mathematics Ser. ; |v v. 723 | |
| 588 | 0 | |a Print version record. | |
| 505 | 8 | |6 880-01 |a Uniqueness for weak solutions of parabolic equations with a fractional time derivative1. Introduction; 2. Steklov averages; 3. Uniqueness; References; Boundary regularity for the free boundary in the one-phase problem; 1. Introduction; 1.1. Previous results and overview of the paper; 2. Preliminaries; 2.1. Existence; 2.2. Lipschitz regularity and flatness of; 2.3. Interior regularity of flat free boundaries; 3. Almost optimal regularity; 4. Optimal regularity; 4.1. Almgren's frequency formula; 4.2. Blowup; References | |
| 505 | 8 | |a Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups1. Introduction; 2. Negative powers in the unit circle and the Hurwitz zeta function; 3. Positive powers in the unit circle and the Hurwitz zeta and Fine functions; 4. The semigroup generated by the Dirichlet-to-Neumann map; 5. Negative powers and the Minakshisundaram zeta function; 6. Positive powers and the Dirichlet-to-Neumann map; 7. Fractional Laplacians and the heat semigroup on the sphere. Extension problem and Harnack inequality; References; Obstacle problems for nonlocal operators; 1. Introduction | |
| 505 | 8 | |a 1.1. Stationary obstacle problem1.2. Evolution obstacle problem; 1.3. Applications to mathematical finance; 1.3.1. Variance Gamma Process; 1.3.2. Regular Lévy Processes of Exponential type; 1.4. Comparison with previous research; 1.5. Structure of the paper; 2. Stationary obstacle problem; 3. Evolution obstacle problem; References; Back Cover | |
| 520 | |a This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28-30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Over the last decade there has been a resurgence of interest in problems involving nonlocal operators, motivated by applications in many areas such as analysis, geometry, and stochastic processes. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives, the behavior of the one-phase Bernoulli-type free bo. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Operator theory |v Congresses. | |
| 650 | 0 | |a Functional analysis |v Congresses. | |
| 650 | 0 | |a Differential equations |v Congresses. | |
| 650 | 6 | |a Théorie des opérateurs |v Congrès. | |
| 650 | 6 | |a Analyse fonctionnelle |v Congrès. | |
| 650 | 6 | |a Équations différentielles |v Congrès. | |
| 650 | 7 | |a Differential equations |2 fast | |
| 650 | 7 | |a Functional analysis |2 fast | |
| 650 | 7 | |a Operator theory |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Petrosyan, Arshak. | |
| 700 | 1 | |a Pop, Camelia A. | |
| 776 | 0 | 8 | |i Print version: |a Danielli, Donatella. |t New Developments in the Analysis of Nonlocal Operators. |d Providence : American Mathematical Society, ©2019 |z 9781470441104 |
| 830 | 0 | |a Contemporary Mathematics Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5725351 |z Texto completo |
| 880 | 0 | |6 505-00/(S |a Cover; Title page; Contents; Preface; Fractional thoughts; 1. Introduction; 2. The fractional Laplacean; 3. Maximum principle, Harnack inequality and Liouville theorem; 4. A brief interlude about very classical stuff; 5. Fourier transform, Bessel functions and ( -Δ)^{ }; 6. The fractional Laplacean and Riesz transforms; 7. The fractional Laplacean of a radial function; 8. The fundamental solution of ( -Δ)^{ }; 9. The nonlocal Yamabe equation; 10. Traces of Bessel processes: The extension problem; 11. Fractional Laplacean and subelliptic equations; 12. Hypoellipticity of ( -Δ)^{ } | |
| 880 | 8 | |6 505-01/(S |a 13. Regularity at the boundary14. Monotonicity formulas and unique continuation for ( -Δ)^{ }; 15. Nonlocal Poisson kernel and mean-value formulas; 16. The heat semigroup \pt= ^{ ( -Δ)^{ }}; 17. Bochner's subordination: from _{ } to ( -Δ)^{ }; 18. More subordination: from _{ } to ^{()}_{ }; 19. A chain rule for ( -Δ)^{ }; 20. The Gamma calculus for ( -Δ)^{ }; 21. Are there nonlocal Li-Yau inequalities; 22. A Li-Yau inequality for Bessel operators; 23. The fractional -Laplacean; Acknowledgments; References | |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5725351 | ||
| 994 | |a 92 |b IZTAP | ||