Systems of partial differential equations and Lie pseudogroups:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Gordon and Breach
1978
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Schriftenreihe: | Mathematics and its applications
14 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIV, 411 S. graph. Darst. |
ISBN: | 067700270X |
Internformat
MARC
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003 | DE-604 | ||
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007 | t | ||
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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 | 1 | |5 DE-604 | |
689 | 2 | 0 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
689 | 2 | |5 DE-604 | |
689 | 3 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
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 |
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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 |
callnumber-label | QA374 |
callnumber-raw | QA374 |
callnumber-search | QA374 |
callnumber-sort | QA 3374 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 540 SK 340 |
ctrlnum | (OCoLC)3205643 (DE-599)BVBBV002282694 |
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 |
work_keys_str_mv | AT pommaretjeanf systemsofpartialdifferentialequationsandliepseudogroups |