Distribution of resonances in scattering by thin barriers:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2019]
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Schriftenreihe: | Memoirs of the American Mathematical Society
volume 259, number 1248 (fifth of 8 numbers) |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | ix, 152 Seiten Illustrationen |
ISBN: | 9781470435721 |
Internformat
MARC
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100 | 1 | |a Galkowski, Jeffrey |4 aut | |
245 | 1 | 0 | |a Distribution of resonances in scattering by thin barriers |c Jeffrey Galkowski |
264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2019] | |
264 | 4 | |c © 2019 | |
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336 | |b txt |2 rdacontent | ||
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338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Memoirs of the American Mathematical Society |v volume 259, number 1248 (fifth of 8 numbers) | |
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Datensatz im Suchindex
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adam_text | Contents Acknowledgements ix Chapter 1. Introduction 1.1. Outline of the article 1 8 Chapter 2. Preliminaries 2.1. The billiard ball flow and map 2.2. Semiclassical preliminaries 2.3. The shymbol 11 11 14 24 Chapter 3. Meromorphic Continuation of the Resolvent 3.1. Formal definition of the operators 3.2. Meromorphic continuation of the resolvent 27 28 32 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 glancing 37 37 41 49 53 62 Chapter 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 71 78 79 80 86 Chapter 6. Existence of Resonances for the Delta Potential 6.1. Outline of the Proof 6.2. Existence for generic domains and potentials 93 93 94 Appendix A. Model Cases A.l. The delta potential A.2. The delta prime potential 105 107 110 Appendix B. 113 SemiclassicalIntersecting Lagrangian Distributions Appendix C. The Semiclassical Melrose-Taylor Parametrix C.l. Construction of the operators Hg and H¿ C.2. Microlocal description of Hg and the Airy multipliers C.3. Parametrix for diffractive points C.4. Relation with exact operators in gliding case V 123 124 142 145 146
vi CONTENTS C.5. C.6. Wave equation paramétricos Semiclassieal Fourier integral operators with singular phase Bibliography 147 148 149
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id | DE-604.BV046056592 |
illustrated | Illustrated |
indexdate | 2024-07-10T08:34:01Z |
institution | BVB |
isbn | 9781470435721 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031437993 |
oclc_num | 1110094546 |
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owner_facet | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
physical | ix, 152 Seiten Illustrationen |
publishDate | 2019 |
publishDateSearch | 2019 |
publishDateSort | 2019 |
publisher | American Mathematical Society |
record_format | marc |
series | Memoirs of the American Mathematical Society |
series2 | Memoirs of the American Mathematical Society |
spelling | Galkowski, Jeffrey aut Distribution of resonances in scattering by thin barriers Jeffrey Galkowski Providence, Rhode Island American Mathematical Society [2019] © 2019 ix, 152 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 259, number 1248 (fifth of 8 numbers) Memoirs of the American Mathematical Society volume 259, number 1248 (fifth of 8 numbers) (DE-604)BV008000141 1248 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031437993&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Galkowski, Jeffrey Distribution of resonances in scattering by thin barriers Memoirs of the American Mathematical Society |
title | Distribution of resonances in scattering by thin barriers |
title_auth | Distribution of resonances in scattering by thin barriers |
title_exact_search | Distribution of resonances in scattering by thin barriers |
title_full | Distribution of resonances in scattering by thin barriers Jeffrey Galkowski |
title_fullStr | Distribution of resonances in scattering by thin barriers Jeffrey Galkowski |
title_full_unstemmed | Distribution of resonances in scattering by thin barriers Jeffrey Galkowski |
title_short | Distribution of resonances in scattering by thin barriers |
title_sort | distribution of resonances in scattering by thin barriers |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031437993&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT galkowskijeffrey distributionofresonancesinscatteringbythinbarriers |