The homotopy index and partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1987
|
| Series: | Universitext.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 208 S. graph. Darst. |
| ISBN: | 3540180672 0387180672 |
Staff View
MARC
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| 100 | 1 | |a Rybakowski, Krzysztof |d 1951- |e Verfasser |0 (DE-588)140975438 |4 aut | |
| 245 | 1 | 0 | |a The homotopy index and partial differential equations |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1987 | |
| 300 | |a XII, 208 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Homotopie | |
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| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Homotopy theory | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Chapter I The homotopy index theory 1
1.1 Local semiflows 1
1.2 The no blow up condition.
Convergence of semiflows 5
1.3 Isolated invariant sets and isolating blocks .... 6
1 .4 Admissibility 13
1 .5 Existence of isolating blocks 18
1.6 Homotopies and inclusion induced maps 26
1.7 Index and quasi index pairs 29
1.8 Some special maps used in the construction of
the Morse index 3 3
1 .9 The Categorial Morse index 3 9
1.10 The homotopy index and its basic properties 49
1.11 Linear semiflows. Irreducibility 57
1.12 Continuation of the homotopy index 64
Chapter II Applications to partial differential equations .. 72
2.1 Sectorial operators generated by partial
differential operators 73
2.2 Center manifolds and their approximation 76
2.3 The index product formula 78
2.4 A one dimensional example 89
2.5 Asymptotically linear systems 94
2.6 Estimates at zero and nontrivial solution of
elliptic equations 109
2.7 Positive heteroclinic orbits of second order
parabolic equations 117
2.8 A homotopy index continuation method and periodic
solutions of second order gradient systems 125
Chapter III Selected topics 140
3.1 Repeller attractor pairs and
Morse decompositions 141
XII
3.2 Block pairs and index triples 147
3.3 A Morse equation 155
3.4 The homotopy index and Morse theory on
Hilbert manifolds 163
3.5 Continuation of the categorial Morse index
along paths 179
Bibliographical notes and comments 195
Bibliography 200
Index 206
|
| any_adam_object | 1 |
| author | Rybakowski, Krzysztof 1951- |
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| author_variant | k r kr |
| building | Verbundindex |
| bvnumber | BV002129478 |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.7 |
| callnumber-search | QA612.7 |
| callnumber-sort | QA 3612.7 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 300 SK 500 SK 540 SK 660 |
| classification_tum | MAT 359f MAT 553f |
| ctrlnum | (OCoLC)16353604 (DE-599)BVBBV002129478 |
| dewey-full | 514/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.24 |
| dewey-search | 514/.24 |
| dewey-sort | 3514 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002129478 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:40:49Z |
| institution | BVB |
| isbn | 3540180672 0387180672 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001396342 |
| oclc_num | 16353604 |
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| physical | XII, 208 S. graph. Darst. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext. |
| spelling | Rybakowski, Krzysztof 1951- Verfasser (DE-588)140975438 aut The homotopy index and partial differential equations Berlin u.a. Springer 1987 XII, 208 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext. Homotopie Équations aux dérivées partielles Differential equations, Partial Homotopy theory Homotopieindex (DE-588)4192039-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Homotopieindex (DE-588)4192039-9 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001396342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rybakowski, Krzysztof 1951- The homotopy index and partial differential equations Homotopie Équations aux dérivées partielles Differential equations, Partial Homotopy theory Homotopieindex (DE-588)4192039-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4192039-9 (DE-588)4044779-0 |
| title | The homotopy index and partial differential equations |
| title_auth | The homotopy index and partial differential equations |
| title_exact_search | The homotopy index and partial differential equations |
| title_full | The homotopy index and partial differential equations |
| title_fullStr | The homotopy index and partial differential equations |
| title_full_unstemmed | The homotopy index and partial differential equations |
| title_short | The homotopy index and partial differential equations |
| title_sort | the homotopy index and partial differential equations |
| topic | Homotopie Équations aux dérivées partielles Differential equations, Partial Homotopy theory Homotopieindex (DE-588)4192039-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Homotopie Équations aux dérivées partielles Differential equations, Partial Homotopy theory Homotopieindex Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001396342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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