Autour de l'analyse microlocale: volume en l'honneur de Jean-Michel Bony
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| Format: | Book |
|---|---|
| Language: | French English |
| Published: |
Paris
Soc. Math. de France
2003
|
| Series: | Astérisque
284 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Beitr. teilw. engl., teilw. franz. |
| Physical Description: | XII, 319 S. Ill., graph. Darst. |
| ISBN: | 2856291325 |
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Record in the Search Index
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| adam_text | Titel: Autour de l analyse microlocale
Autor: Lebeau, Gilles
Jahr: 2003
TABLE DES MATIERES
Resumes des articles ......................................................... ix
Abstracts ...................................................................... xi
Preface ........................................................................xiii
S. Alinhac — An Example of Blowup at Infinity for a Quasilinear Wave Equa-
tion ........................................................................................................................................................1
Introduction ..................................................................................................................................2
I. Main result and ideas of the proof..................................................................................2
II. Large time existence, induction hypothesis and first consequences........ 9
III. Improved L°° estimates on u ............................................. 17
IV. A calculus of modified Klainerman s vector fields ........................ 36
V. Weighted L2 norms, Poincare Lemma and Energy Inequalities ............ 58
VI. Commutations with the operator P ...................................... 64
VII. L2 estimates of u and a ................................................. 75
References ................................................................... 91
H. Bahouri ; J.-Y. Chemin — Microlocal analysis, bilinear estimates and cubic
quasilinear wave equation ...................................................... 93
Introduction ................................................................. 93
1. Method of the proof and structure of the paper ........................... 96
2. Littlewood-Paley theory and Paralinearization of the equation ............102
3. Reduction to microlocalized estimates .....................................106
4. Approximation of the solution and geometrical optics .....................118
5. The concept of microlocalized functions ...................................127
6. The propagation theorem .................................................132
7. The conclusion of the proof...............................................136
References ...................................................................139
TABLE DES MATIERES
M. KASHIWARA P. Schapira — Uicvolocal study of ind-sheaves I: micro-
support and regularity ..........................................................143
1. Introduction ...............................................................143
2. Notations and review ......................................................145
3. Complements of homological algebra......................................150
4. Micro-support and regularity ..............................................152
5. Invariancc by contact transformations .....................................159
6. Ind-sheaves and D-modules ................................................101
7. An example ...............................................................102
References ...................................................................104
Y. Laurent — Regularity of V-modules associated to a symmetric pair ......105
Introduction .................................................................105
1. Bifiltrations of D-modules .................................................106
2. Symmetric pairs ...........................................................174
References ...................................................................179
A. Melin J. Sjostrand — Bohr-Sommerfeld quantization condition for non-
selfadjoint operators in dimension 2 ...........................................181
0. Introduction ...............................................................181
Contents of the paper ........................................................185
; 1. Construction of complex Lagrangian torii in p-1(0) in dimension 2 ........185
Appendix A : Reduction of elliptic vector fields on a torus ...................195
Appendix B : 2-dimensional manifolds with elliptic vector fields .............197
2. Review of Fourier integral operators between spaces ..................201
3. Formulation of the problem in H,p and reduction to a neighborhood of £ = 0
in T*V() ......................................................................203
4. Spectrum of elliptic first order differential operators on F ) ................208
5. Grushin problem near £ — 0 in T*ro ......................................210
0. The main result ...........................................................214
Appendix A : Remark on multiplicities ......................................226
Appendix B : Modified ^-equation for {Ix(z)J2{z)) ..........................228
7. Saddle point resonances ...................................................230
References ..................................................243
¦ orimoio C.-J. Xu —- Logarithmic Sobolev inequality and semi-linear
iricilct problems for infinitely degenerate elliptic operators ...................245
1. Introduction ......................................245
2. Logarithmic Sobolev inequality ....................................247
3. Variational problems ..........................251
4. Boundedness and regularity of weak solutions ............. ............... 254
-J- ppendix : Logarithmic regularity estimate............259
References .......................
..................................................................263
ASTiausqm: ax-i
TABLE DES MATIERES vii
J. Rauch — Group velocity at smooth points of hyperbolic characteristic vari-
eties ...........................................................................265
References ...................................................................269
J.-M. Trepreau — Discrimination analytique des diffeomorphismes resonnants
de (C, 0) et reflexion de Schwarz ...............................................271
Introduction .................................................................271
1. Paircs d arcs analytiques et reflexions .....................................276
2. Classification des paires de type 2 .........................................281
3. Perturbations d une paire de cercles tangents ..............................285
4. Invariants gcometriques dbine paire .......................................291
5. Des examples, avec une ellipse et une droite ...............................302
Appendice: complement an Chapitre 2 .......................................311
References ...................................................................318
SOCi£t£ MATHEMATIQUE DE FRANCE 2003
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| isbn | 2856291325 |
| language | French English |
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| spelling | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony éd. par Gilles Lebeau Paris Soc. Math. de France 2003 XII, 319 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Astérisque 284 Beitr. teilw. engl., teilw. franz. Analyse microlocale ram analyse microlocale inriac équation onde inriac Mikrolokale Analysis (DE-588)4169832-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)4016928-5 Festschrift gnd-content Mikrolokale Analysis (DE-588)4169832-0 s DE-604 Lebeau, Gilles 1954- Sonstige (DE-588)121523136 oth Bony, Jean-Michel 1942- (DE-588)1089324316 hnr Astérisque 284 (DE-604)BV002579439 284 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010391767&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony Astérisque Analyse microlocale ram analyse microlocale inriac équation onde inriac Mikrolokale Analysis (DE-588)4169832-0 gnd |
| subject_GND | (DE-588)4169832-0 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony |
| title_auth | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony |
| title_exact_search | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony |
| title_full | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony éd. par Gilles Lebeau |
| title_fullStr | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony éd. par Gilles Lebeau |
| title_full_unstemmed | Autour de l'analyse microlocale volume en l'honneur de Jean-Michel Bony éd. par Gilles Lebeau |
| title_short | Autour de l'analyse microlocale |
| title_sort | autour de l analyse microlocale volume en l honneur de jean michel bony |
| title_sub | volume en l'honneur de Jean-Michel Bony |
| topic | Analyse microlocale ram analyse microlocale inriac équation onde inriac Mikrolokale Analysis (DE-588)4169832-0 gnd |
| topic_facet | Analyse microlocale analyse microlocale équation onde Mikrolokale Analysis Aufsatzsammlung Festschrift |
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