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Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes /
In this paper, we study the direct and inverse scattering theory at fixed energy for massless charged Dirac fields evolving in the exterior region of a Kerr-Newman-de Sitter black hole. In the first part, we establish the existence and asymptotic completeness of time-dependent wave operators associa...
| Call Number: | Libro Electrónico |
|---|---|
| Main Authors: | , |
| Format: | Government Document Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Series: | Memoirs of the American Mathematical Society ;
no. 1170. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Chapter 1. Introduction Chapter 2. Kerr-Newman-de-Sitter black holes Chapter 3. The massless charged Dirac equation Chapter 4. The direct scattering problem Chapter 5. Uniqueness results in the inverse scattering problem at fixed energy Chapter 6. The angular equation and partial inverse result Chapter 7. The radial equation: complexification of the angular momentum Chapter 8. Large z asymptotics of the scattering data Chapter 9. The inverse scattering problem Appendix A. Growth estimate of the eigenvalues \muk Appendix B. Limiting Absorption Principles and scattering theory for H₀ and H.