A vector field method on the distorted Fourier side and decay for wave equations with potentials:
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
May 2016
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 241, number 1142 (3rd of 4 numbers) |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | v, 80 Seiten |
| ISBN: | 9781470418731 |
Internformat
MARC
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| 100 | 1 | |a Donninger, Roland |d 1977- |0 (DE-588)1098579712 |4 aut | |
| 245 | 1 | 0 | |a A vector field method on the distorted Fourier side and decay for wave equations with potentials |c Roland Donninger, Joachim Krieger |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c May 2016 | |
| 300 | |a v, 80 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 241, number 1142 (3rd of 4 numbers) | |
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Datensatz im Suchindex
| _version_ | 1804176229875580928 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. Main results 2
1.2. Related work 5
1.3. Method of proof 6
1.4. Further discussion 7
1.5. Notations and conventions 7
Chapter 2. Weyl-Titchmarsh Theory for A 9
2.1. Zero energy solutions 9
2.2. Perturbative solutions for small energies 10
2.3. The lost function at small energies 11
2.4. The Jost function at large energies 12
2.5. The Wxonskians 13
2.6. Computation of the spectral measure 15
2.7. Global representations for f {-, X) 16
2.8. The distorted Fourier transform 17
Chapter 3. Dispersive Bounds 19
3.1. Fundamental dispersive estimate 19
3.2. Improved decay 23
3.3. Comparison with the free case 24
Chapter 4. Energy Bounds 27
4.1. Properties of the distorted Fourier transform 27
4.2. Generalized energy bounds 29
Chapter 5. Vector Field Bounds 33
5.1. The operator B 33
5.2. Preliminaries from distribution theory 34
5.3. The kernel of B away from the diagonal 35
5.4. Bounds for F 36
5.5. Representation as a singular integral operator 38
5.6. The diagonal part 40
5.7. Boundedness on weighted spaces 43
5.8. Basic vector field bounds 45
5.9. Bounds involving the ordinary derivative 47
Chapter 6. Higher Order Vector Field Bounds 53
6.1. More commutator estimates 53
6.2. Higher order vector field bounds 56
6.3. The inhomogeneous problem 57
iii
iv CONTENTS
Chapter 7. Local Energy Decay 61
7.1. Basic local energy decay 61
7.2. Bounds involving the scaling vector field 64
7.3. The inhomogeneous case 66
Chapter 8. Bounds for Data in Divergence Form 71
8.1. Bounds for the sine evolution 71
8.2. Bounds involving the scaling vector field 73
8.3. Bounds for the inhomogeneous problem 75
Bibliography 77
|
| any_adam_object | 1 |
| author | Donninger, Roland 1977- Krieger, Joachim 1976- |
| author_GND | (DE-588)1098579712 (DE-588)173835848 |
| author_facet | Donninger, Roland 1977- Krieger, Joachim 1976- |
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| author_sort | Donninger, Roland 1977- |
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| building | Verbundindex |
| bvnumber | BV043560359 |
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| dewey-full | 515.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7246 |
| dewey-search | 515.7246 |
| dewey-sort | 3515.7246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043560359 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:28:52Z |
| institution | BVB |
| isbn | 9781470418731 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028975451 |
| oclc_num | 950442550 |
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| physical | v, 80 Seiten |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Donninger, Roland 1977- (DE-588)1098579712 aut A vector field method on the distorted Fourier side and decay for wave equations with potentials Roland Donninger, Joachim Krieger Providence, Rhode Island American Mathematical Society May 2016 v, 80 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 241, number 1142 (3rd of 4 numbers) Wellengleichung (DE-588)4065315-8 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Wellengleichung (DE-588)4065315-8 s Parabolische Differentialgleichung (DE-588)4173245-5 s DE-604 Krieger, Joachim 1976- (DE-588)173835848 aut Memoirs of the American Mathematical Society volume 241, number 1142 (3rd of 4 numbers) (DE-604)BV008000141 1142 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=028975451&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Donninger, Roland 1977- Krieger, Joachim 1976- A vector field method on the distorted Fourier side and decay for wave equations with potentials Memoirs of the American Mathematical Society Wellengleichung (DE-588)4065315-8 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4065315-8 (DE-588)4173245-5 |
| title | A vector field method on the distorted Fourier side and decay for wave equations with potentials |
| title_auth | A vector field method on the distorted Fourier side and decay for wave equations with potentials |
| title_exact_search | A vector field method on the distorted Fourier side and decay for wave equations with potentials |
| title_full | A vector field method on the distorted Fourier side and decay for wave equations with potentials Roland Donninger, Joachim Krieger |
| title_fullStr | A vector field method on the distorted Fourier side and decay for wave equations with potentials Roland Donninger, Joachim Krieger |
| title_full_unstemmed | A vector field method on the distorted Fourier side and decay for wave equations with potentials Roland Donninger, Joachim Krieger |
| title_short | A vector field method on the distorted Fourier side and decay for wave equations with potentials |
| title_sort | a vector field method on the distorted fourier side and decay for wave equations with potentials |
| topic | Wellengleichung (DE-588)4065315-8 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Wellengleichung Parabolische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028975451&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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