Systems of partial differential equations and Lie pseudogroups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Gordon and Breach
1978
|
| Schriftenreihe: | Mathematics and its applications
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 411 S. graph. Darst. |
| ISBN: | 067700270X |
Internformat
MARC
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| 100 | 1 | |a Pommaret, Jean F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Systems of partial differential equations and Lie pseudogroups |c J. F. Pommaret. With a preface by André Lichnerowicz |
| 264 | 1 | |a New York [u.a.] |b Gordon and Breach |c 1978 | |
| 300 | |a XIV, 411 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 14 | |
| 650 | 7 | |a EDP |2 inriac | |
| 650 | 4 | |a Lie, Groupes de | |
| 650 | 4 | |a Pseudo-groupes (Mathématiques) | |
| 650 | 7 | |a groupe Lie |2 inriac | |
| 650 | 7 | |a pseudo-groupe Lie |2 inriac | |
| 650 | 7 | |a système non linéaire |2 inriac | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Pseudogroups | |
| 650 | 0 | 7 | |a Pseudogruppe |0 (DE-588)4176130-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
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| 689 | 3 | 1 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
| 689 | 3 | |5 DE-604 | |
| 830 | 0 | |a Mathematics and its applications |v 14 |w (DE-604)BV008163334 |9 14 | |
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| 940 | 1 | |q TUB-nve | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001500198 | ||
Datensatz im Suchindex
| _version_ | 1804116741818679296 |
|---|---|
| adam_text | CONTENTS
PREFACE (English) xi
PREFACE (French) xiii
INTRODUCTION 1
FIRST PART
CHAPTER 1
1 Fibered manifolds ......... 9
2 Fibered morphisms ......... 16
3 Fibered submanifolds. . . . . . . . . 18
4 Vector bundles .......... 20
5 Fibered operations ......... 22
6 Vertical bundles 24
7 Exact sequences ......... 26
8 Normal bundles ......... 27
9 Jet bundles 32
CHAPTER 2
1 Differential operators ........ 39
2 Non linear systems ......... 48
3 Formal properties ......... 57
4 Criterion theorem ......... 66
5 Prolongation theorem ........ 76
CHAPTER 3
1 Spencer cohomology 85
2 Involutive symbols ......... 92
3 Lowered systems ......... 109
4 Prolongation theorem 117
5 Complements 123
Problems 125
vii
Viii CONTENTS
CHAPTER 4
1 Spencer families 141
2 Formal properties 150
3 Criterion theorem 156
4 Analytic systems 159
CHAPTER 5
1 Linear systems 165
2 Formal properties 171
3 First Spencer sequence . . . . . . . .174
4 Second Spencer sequence 180
5 / sequence 182
6 Algebraic properties 191
7 Examples 200
Problems 204
SECOND PART
CHAPTER 6
General Comment 207
1 Lie groups 207
2 Lie fundamental theorems 210
3 Invariant foliations 221
4 Lie derivative 244
5 Prolongation of transformations 248
CHAPTER 7
1 Finite and infinitesimal Lie equations 265
2 Special and general Lie equations 280
3 Integrability conditions 305
4 Third fundamental theorem 316
5 Equivalence problem 332
6 Normalizer 336
7 Deformation theory of structures 354
8 Deformation cohomology 362
9 Theorem of analytic realization 394
Problems 398
CONTENTS ix
BIBLIOGRAPHY 405
INDEX OF DEFINITIONS 409
|
| any_adam_object | 1 |
| author | Pommaret, Jean F. |
| author_facet | Pommaret, Jean F. |
| author_role | aut |
| author_sort | Pommaret, Jean F. |
| author_variant | j f p jf jfp |
| building | Verbundindex |
| bvnumber | BV002282694 |
| callnumber-first | Q - Science |
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| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002282694 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:20Z |
| institution | BVB |
| isbn | 067700270X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001500198 |
| oclc_num | 3205643 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-188 DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-29T DE-19 DE-BY-UBM DE-188 DE-83 |
| physical | XIV, 411 S. graph. Darst. |
| psigel | TUB-nve |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Gordon and Breach |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Pommaret, Jean F. Verfasser aut Systems of partial differential equations and Lie pseudogroups J. F. Pommaret. With a preface by André Lichnerowicz New York [u.a.] Gordon and Breach 1978 XIV, 411 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 14 EDP inriac Lie, Groupes de Pseudo-groupes (Mathématiques) groupe Lie inriac pseudo-groupe Lie inriac système non linéaire inriac Équations aux dérivées partielles Differential equations, Partial Lie groups Pseudogroups Pseudogruppe (DE-588)4176130-3 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s DE-604 Pseudogruppe (DE-588)4176130-3 s Lie-Gruppe (DE-588)4035695-4 s Partielle Differentialgleichung (DE-588)4044779-0 s Mathematics and its applications 14 (DE-604)BV008163334 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001500198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pommaret, Jean F. Systems of partial differential equations and Lie pseudogroups Mathematics and its applications EDP inriac Lie, Groupes de Pseudo-groupes (Mathématiques) groupe Lie inriac pseudo-groupe Lie inriac système non linéaire inriac Équations aux dérivées partielles Differential equations, Partial Lie groups Pseudogroups Pseudogruppe (DE-588)4176130-3 gnd Lie-Gruppe (DE-588)4035695-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4176130-3 (DE-588)4035695-4 (DE-588)4044779-0 (DE-588)4012249-9 |
| title | Systems of partial differential equations and Lie pseudogroups |
| title_auth | Systems of partial differential equations and Lie pseudogroups |
| title_exact_search | Systems of partial differential equations and Lie pseudogroups |
| title_full | Systems of partial differential equations and Lie pseudogroups J. F. Pommaret. With a preface by André Lichnerowicz |
| title_fullStr | Systems of partial differential equations and Lie pseudogroups J. F. Pommaret. With a preface by André Lichnerowicz |
| title_full_unstemmed | Systems of partial differential equations and Lie pseudogroups J. F. Pommaret. With a preface by André Lichnerowicz |
| title_short | Systems of partial differential equations and Lie pseudogroups |
| title_sort | systems of partial differential equations and lie pseudogroups |
| topic | EDP inriac Lie, Groupes de Pseudo-groupes (Mathématiques) groupe Lie inriac pseudo-groupe Lie inriac système non linéaire inriac Équations aux dérivées partielles Differential equations, Partial Lie groups Pseudogroups Pseudogruppe (DE-588)4176130-3 gnd Lie-Gruppe (DE-588)4035695-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | EDP Lie, Groupes de Pseudo-groupes (Mathématiques) groupe Lie pseudo-groupe Lie système non linéaire Équations aux dérivées partielles Differential equations, Partial Lie groups Pseudogroups Pseudogruppe Lie-Gruppe Partielle Differentialgleichung Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001500198&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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