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Distribution of resonances in scattering by thin barriers /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Galkowski, Jeffrey (Autor)
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

MARC

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100 1 |a Galkowski, Jeffrey,  |e author. 
245 1 0 |a Distribution of resonances in scattering by thin barriers /  |c Jeffrey Galkowski. 
264 1 |a Providence, RI :  |b American Mathematical Society,  |c 2019. 
300 |a 1 online resource (168 pages) :  |b illustrations 
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 Memoirs of the American Mathematical Society ;  |v number 1248 
588 0 |a Online resource; title from PDF title page (viewed August 27, 2019). 
500 |a Keywords: Transmission problems, layer potentials, layer operators, high frequency, resonances, potential theory, hypersingular operator 
500 |a "May 2019 - Volume 259 - Number 1248 (fifth of 8 numbers)." 
505 0 |a 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. 
504 |a Includes bibliographical references (pages 149-152). 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Mathematical physics. 
650 6 |a Physique mathématique. 
650 7 |a Física matemática  |2 embne 
650 7 |a Mathematical physics  |2 fast 
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776 0 8 |i Print version:  |a Galkowski, Jeffrey.  |t Distribution of Resonances in Scattering by Thin Barriers.  |d Providence : American Mathematical Society, ©2019  |z 9781470435721 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1248. 
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