Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Paris
Soc. Math. de France
2002
|
| Series: | Astérisque
283 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 128 S. Ill., graph. Darst. |
| ISBN: | 2856291317 |
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| 245 | 1 | 0 | |a Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation |c Luc Robbiano, Claude Zuily |
| 264 | 1 | |a Paris |b Soc. Math. de France |c 2002 | |
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Record in the Search Index
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| adam_text | ASTERISQUE 283 SUB G6TTINGEN 7 215 999 525 2003 A 19019 ANALYTIC THEORY
FOR THE QUADRATIC SCATTERING WAVE FRONT SET AND APPLICATION TO THE
SCHRODINGER EQUATION LUC ROBBIANO CLAUDE ZUILY SOCIETE MATHEMATIQUE DE
FRANCE 2002 PUBLIE AVEC LE CONCOURS DU CENTRE NATIONAL DE LA RECHERCHE
SCIENTIFLQUE CONTENTS 0. INTRODUCTION 1 1. THE GEOMETRICAL CONTEXT 7 2.
THE ANALYTIC QSC WAVE FRONT SET 9 2.1. THE FBI PHASES 9 2.2. THE
ANALYTIC SYMBOLS 10 2.3. THE ANALYTIC QSC WAVE FRONT SET QSC WF A .. .^^
10 2.4. THE UNIFORM ANALYTIC QSC WAVE FRONT SET QSC WF A 11 2.5.
INVARIANCE 11 2.6. MORE GENERAL PHASES 11 3. THE LAPLACIAN AND ITS FLOW
17 3.1. THE LAPLACIAN 17 3.2. THE HAMILTONIAN 18 3.3. THE FLOW ON ( QSC
T DM M) 19 3.4. THE FLOW ON SC S*M 20 3.5. BEHAVIOR OF THE FLOW FOR
LARGE TIME 21 4. STATEMENTS OF THE MAIN RESULTS AND REDUCTIONS 27 4.1.
MAIN RESULTS 27 4.2. PROPAGATION INSIDE ^ SC T* DM M 28 4.3. PROPAGATION
OF THE UNIFORM WAVE FRONT SET IN ( QSC S*M) OR ON THE CORNER 29 4.4.
PROPAGATION FROM THE INTERIOR TO THE CORNER 29 4.5. PROPAGATION FROM THE
BOUNDARY AT INFINITY TO THE CORNER 29 4.6. PROOFS OF THEOREMS 4.1 TO 4.5
29 5. PROOF OF THEOREM 4.6 33 5.1. THE FIRST PHASE EQUATION 34 5.2. THE
SECOND PHASE EQUATION 36 5.3. THE LINK BETWEEN THE BICHARACTERISTICS OF
Q AND THE FLOW OF X O 37 5.4. IS A FBI PHASE 37 5.5. THE TRANSPORT
EQUATIONS 38 5.6. PROOF OF THEOREM 4.6 (CONTINUED) 41 CONTENTS 6. PROOF
OF THEOREM 4.7 45 6.1. PROPAGATION IN ( QSC S*M) 45 6.2. PROPAGATION ON
THE CORNER 46 7. PROOF OF THEOREM 4.8 51 7.1. THE PHASE EQUATION 52 7.2.
LINK BETWEEN THE FLOW OIAH^ AND THE BICHARACTERISTICS 61 7.3. THE
TRANSPORT EQUATION 62 7.4. END OF THE PROOF OF THEOREM 4.8 65 8. PROOF
OF THEOREM 4.9 85 8.1. RESOLUTION OF THE PHASE EQUATION 85 8.2.
RESOLUTION OF THE TRANSPORT EQUATION 93 8.3. PROOF OF THEOREM 4.9 93
APPENDIX 99 A.I. THE PHASES 99 A.2. GOOD CONTOURS 104 A.3.
PSEUDO-DIFFERENTIAL OPERATORS IN THE COMPLEX DOMAIN 109 A.4.
PSEUDO-DIFFERENTIAL OPERATORS IN THE REAL DOMAIN 113 BIBLIOGRAPHY 127
ASTERISQUE 283
|
| any_adam_object | 1 |
| author | Robbiano, Luc Zuily, Claude |
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV016961458 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:12:14Z |
| institution | BVB |
| isbn | 2856291317 |
| language | English |
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| physical | VI, 128 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| publisher | Soc. Math. de France |
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| series | Astérisque |
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| spelling | Robbiano, Luc Verfasser aut Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation Luc Robbiano, Claude Zuily Paris Soc. Math. de France 2002 VI, 128 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Astérisque 283 Analyse fonctionnelle Analyse fonctionnelle rasuqam EQUAÇÕES DE SCHRODINGER larpcal Fonction de plusieurs variables complexes rasuqam Fonctions de plusieurs variables complexes Partiële differentiaalvergelijkingen gtt Schrödinger, Équation de Schrödingervergelijking gtt Singularité mathématique rasuqam Équation de Schrödinger rasuqam Functional analysis Functions of several complex variables Schrödinger equation Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Ausbreitung (DE-588)4003694-7 gnd rswk-swf Schrödinger-Gleichung (DE-588)4053332-3 gnd rswk-swf Schrödinger-Gleichung (DE-588)4053332-3 s Singularität Mathematik (DE-588)4077459-4 s Ausbreitung (DE-588)4003694-7 s DE-604 Zuily, Claude Verfasser aut Astérisque 283 (DE-604)BV002579439 283 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010244822&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Robbiano, Luc Zuily, Claude Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation Astérisque Analyse fonctionnelle Analyse fonctionnelle rasuqam EQUAÇÕES DE SCHRODINGER larpcal Fonction de plusieurs variables complexes rasuqam Fonctions de plusieurs variables complexes Partiële differentiaalvergelijkingen gtt Schrödinger, Équation de Schrödingervergelijking gtt Singularité mathématique rasuqam Équation de Schrödinger rasuqam Functional analysis Functions of several complex variables Schrödinger equation Singularität Mathematik (DE-588)4077459-4 gnd Ausbreitung (DE-588)4003694-7 gnd Schrödinger-Gleichung (DE-588)4053332-3 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4003694-7 (DE-588)4053332-3 |
| title | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation |
| title_auth | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation |
| title_exact_search | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation |
| title_full | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation Luc Robbiano, Claude Zuily |
| title_fullStr | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation Luc Robbiano, Claude Zuily |
| title_full_unstemmed | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation Luc Robbiano, Claude Zuily |
| title_short | Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation |
| title_sort | analytic theory for the quadratic scattering wave front set and application to the schrodinger equation |
| topic | Analyse fonctionnelle Analyse fonctionnelle rasuqam EQUAÇÕES DE SCHRODINGER larpcal Fonction de plusieurs variables complexes rasuqam Fonctions de plusieurs variables complexes Partiële differentiaalvergelijkingen gtt Schrödinger, Équation de Schrödingervergelijking gtt Singularité mathématique rasuqam Équation de Schrödinger rasuqam Functional analysis Functions of several complex variables Schrödinger equation Singularität Mathematik (DE-588)4077459-4 gnd Ausbreitung (DE-588)4003694-7 gnd Schrödinger-Gleichung (DE-588)4053332-3 gnd |
| topic_facet | Analyse fonctionnelle EQUAÇÕES DE SCHRODINGER Fonction de plusieurs variables complexes Fonctions de plusieurs variables complexes Partiële differentiaalvergelijkingen Schrödinger, Équation de Schrödingervergelijking Singularité mathématique Équation de Schrödinger Functional analysis Functions of several complex variables Schrödinger equation Singularität Mathematik Ausbreitung Schrödinger-Gleichung |
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