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|a UAMI
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|a Galkowski, Jeffrey,
|e author.
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|a Distribution of resonances in scattering by thin barriers /
|c Jeffrey Galkowski.
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|a Providence, RI :
|b American Mathematical Society,
|c 2019.
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|a 1 online resource (168 pages) :
|b illustrations
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Memoirs of the American Mathematical Society ;
|v number 1248
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|a Online resource; title from PDF title page (viewed August 27, 2019).
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|a Keywords: Transmission problems, layer potentials, layer operators, high frequency, resonances, potential theory, hypersingular operator
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|a "May 2019 - Volume 259 - Number 1248 (fifth of 8 numbers)."
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|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.
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|a Includes bibliographical references (pages 149-152).
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Mathematical physics.
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650 |
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|a Physique mathématique.
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|a Física matemática
|2 embne
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|a Mathematical physics
|2 fast
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|i has work:
|a Distribution of resonances in scattering by thin barriers (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGWPYqwwHhXKf7cdCrVFjy
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
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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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856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5788266
|z Texto completo
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|a Askews and Holts Library Services
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