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Distribution of resonances in scattering by thin barriers /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2019.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1248. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Chapter 1. Introduction
- 1.1. Outline of the article
- Chapter 2. Preliminaries
- 2.1. The billiard ball flow and map
- 2.2. Semiclassical preliminaries
- 2.3. The shymbol
- Chapter 3. Meromorphic Continuation of the Resolvent
- 3.1. Formal definition of the operators
- 3.2. Meromorphic continuation of the resolvent
- Chapter 4. Boundary Layer Operators
- 4.1. Classical layer potential theory
- 4.2. High energy estimates on the boundary layer operators
- 4.3. Microlocal description of the free resolvent
- 4.4. Boundary layer operators and potentials away from glancing
- 4.5. Boundary layer operators and potentials near glancingChapter 5. Dynamical Resonance Free Regions
- 5.1. Conjectures and numerical computation of resonances
- 5.2. Outline of the proof and organization of the chapter
- 5.3. Resonance free regions -delta Potential
- 5.4. Resonance free regions -delta prime potential
- Chapter 6. Existence of Resonances for the Delta Potential
- 6.1. Outline of the Proof
- 6.2. Existence for generic domains and potentials
- Appendix A. Model Cases
- A.1. The delta potential
- A.2. The delta prime potential
- Appendix B. Semiclassical Intersecting Lagrangian Distributions
- Appendix C. The Semiclassical Melrose-Taylor Parametrix
- C.1. Construction of the operators _{ } and _{ }
- C.2. Microlocal description of _{ }, _{ } and the Airy multipliers
- C.3. Parametrix for diffractive points
- C.4. Relation with exact operators in gliding case
- C.5. Wave equation parametrices
- C.6. Semiclassical Fourier integral operators with singular phase.