FBI transformation: second microlocalization and semilinear caustics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1992
|
| Schriftenreihe: | Lecture notes in mathematics
1522 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 100 S. |
| ISBN: | 3540557644 0387557644 |
Internformat
MARC
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| 100 | 1 | |a Delort, Jean-Marc |d 1961- |e Verfasser |0 (DE-588)1027794106 |4 aut | |
| 245 | 1 | 0 | |a FBI transformation |b second microlocalization and semilinear caustics |c Jean-Marc Delort |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1992 | |
| 300 | |a 100 S. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1522 | |
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Datensatz im Suchindex
| _version_ | 1804119707017543680 |
|---|---|
| adam_text | Contents
0. Introduction 1
1. Fourier Bros Iagolnitzer transformation and first microlocalization 7
1. FBI transformation with quadratic phase 7
2. Fourier Bros Iagolnitzer transformations 14
3. Quantized canonical transformations 17
4. Change of FBI 23
II. Second microlocalization 28
1. Second microlocalization along Tr*0 Rn 28
2. Second microlocalization along a lagrangian submanifold 31
3. Trace theorems 41
III. Geometric upper bounds 47
1. Subanalytic sets and subanalytic maps 47
2. Critical points and critical values 52
3. Upper bounds for microsupports and second microsupports 58
IV. Semilinear Cauchy problem 72
1. Statement of the result and method of proof 72
2. Sobolev spaces and integrations by part 77
3. End of the proof of Theorem 1.3 84
4. The swallow tail s theorem and various extensions 95
Bibliography 99
Index 101
|
| any_adam_object | 1 |
| author | Delort, Jean-Marc 1961- |
| author_GND | (DE-588)1027794106 |
| author_facet | Delort, Jean-Marc 1961- |
| author_role | aut |
| author_sort | Delort, Jean-Marc 1961- |
| author_variant | j m d jmd |
| building | Verbundindex |
| bvnumber | BV005492008 |
| classification_rvk | SI 850 |
| classification_tum | MAT 465f MAT 474f |
| ctrlnum | (OCoLC)75277645 (DE-599)BVBBV005492008 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005492008 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:30:28Z |
| institution | BVB |
| isbn | 3540557644 0387557644 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003439628 |
| oclc_num | 75277645 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-384 DE-12 DE-355 DE-BY-UBR DE-824 DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | 100 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Delort, Jean-Marc 1961- Verfasser (DE-588)1027794106 aut FBI transformation second microlocalization and semilinear caustics Jean-Marc Delort Berlin u.a. Springer 1992 100 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1522 Mikrolokalisation (DE-588)4169833-2 gnd rswk-swf Kaustik (DE-588)4135840-5 gnd rswk-swf Semilineare hyperbolische Differentialgleichung (DE-588)4180959-2 gnd rswk-swf Lagrange-Mannigfaltigkeit (DE-588)4212799-3 gnd rswk-swf Mikrolokalisation (DE-588)4169833-2 s Lagrange-Mannigfaltigkeit (DE-588)4212799-3 s DE-604 Semilineare hyperbolische Differentialgleichung (DE-588)4180959-2 s Kaustik (DE-588)4135840-5 s Lecture notes in mathematics 1522 (DE-604)BV000676446 1522 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003439628&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Delort, Jean-Marc 1961- FBI transformation second microlocalization and semilinear caustics Lecture notes in mathematics Mikrolokalisation (DE-588)4169833-2 gnd Kaustik (DE-588)4135840-5 gnd Semilineare hyperbolische Differentialgleichung (DE-588)4180959-2 gnd Lagrange-Mannigfaltigkeit (DE-588)4212799-3 gnd |
| subject_GND | (DE-588)4169833-2 (DE-588)4135840-5 (DE-588)4180959-2 (DE-588)4212799-3 |
| title | FBI transformation second microlocalization and semilinear caustics |
| title_auth | FBI transformation second microlocalization and semilinear caustics |
| title_exact_search | FBI transformation second microlocalization and semilinear caustics |
| title_full | FBI transformation second microlocalization and semilinear caustics Jean-Marc Delort |
| title_fullStr | FBI transformation second microlocalization and semilinear caustics Jean-Marc Delort |
| title_full_unstemmed | FBI transformation second microlocalization and semilinear caustics Jean-Marc Delort |
| title_short | FBI transformation |
| title_sort | fbi transformation second microlocalization and semilinear caustics |
| title_sub | second microlocalization and semilinear caustics |
| topic | Mikrolokalisation (DE-588)4169833-2 gnd Kaustik (DE-588)4135840-5 gnd Semilineare hyperbolische Differentialgleichung (DE-588)4180959-2 gnd Lagrange-Mannigfaltigkeit (DE-588)4212799-3 gnd |
| topic_facet | Mikrolokalisation Kaustik Semilineare hyperbolische Differentialgleichung Lagrange-Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003439628&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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