Abstract evolution equations, periodic problems and applications
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman
1992
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
279 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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MARC
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| 100 | 1 | |a Daners, Daniel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Abstract evolution equations, periodic problems and applications |c Daniel Daners and Pablo Koch Medina |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow |b Longman |c 1992 | |
| 300 | |a 249 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Pitman research notes in mathematics series |v 279 | |
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| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
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| 689 | 3 | |5 DE-604 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-005236669 | ||
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001/93 A 774 |
|---|---|
| DE-BY-TUM_katkey | 828366 |
| DE-BY-TUM_media_number | 040000905853 |
| _version_ | 1816711768042373120 |
| adam_text | Contents
Introduction 1
0. General notation 7
I. Linear evolution equations of parabolic type
1. Co semigroups 17
2. The evolution operator 31
3. Interpolation spaces 38
4. The real, complex and continuous interpolation methods 45
5. The evolution operator in interpolation spaces 57
II. Linear periodic evolution equations
6. The evolution operator 72
7. Spectral decompositions 82
8. Floquet representations 86
III. Miscellaneous
9. Abstract Volterra integral equations 90
10. Yosida approximations of the evolution operator 96
11. Parameter dependence 106
12. Ordered Banach spaces and positive operators 114
13. The parabolic maximum principle and positivity 120
14. Superconvexity and periodic parabolic eigenvalue problems 124
IV. Semilinear evolution equations of parabolic type
15. Mild solutions 133
16. Existence and continuous dependence 148
17. Global solutions 157
18. Parameter dependence 161
V. Semilinear periodic evolution equations
19. Equilibria in autonomous equations 171
20. The period map 174
21. Stability of periodic solutions 177
22. Linearized stability and instability 180
23. Stability in weaker norms 187
VI. Applications
24. Reaction diffusion equations in bounded domains 194
25. Reaction diffusion equations in R 203
26. A nonstandard example arising in epidemiology 208
Appendix
Al. Spaces of continuous and differentiable functions 221
A2. Distributions and test functions 229
A3. Sobolev spaces and interpolation 230
A4. Boundary spaces and the trace operator 240
Bibliography 243
|
| any_adam_object | 1 |
| author | Daners, Daniel Koch Medina, Pablo |
| author_facet | Daners, Daniel Koch Medina, Pablo |
| author_role | aut aut |
| author_sort | Daners, Daniel |
| author_variant | d d dd m p k mp mpk |
| building | Verbundindex |
| bvnumber | BV007924096 |
| classification_rvk | SI 880 SK 540 SK 560 |
| classification_tum | MAT 354f MAT 356f |
| ctrlnum | (OCoLC)243763988 (DE-599)BVBBV007924096 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV007924096 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:14:19Z |
| institution | BVB |
| isbn | 0582096359 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005236669 |
| oclc_num | 243763988 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-384 DE-91 DE-BY-TUM DE-12 DE-739 DE-634 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-384 DE-91 DE-BY-TUM DE-12 DE-739 DE-634 DE-188 |
| physical | 249 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spellingShingle | Daners, Daniel Koch Medina, Pablo Abstract evolution equations, periodic problems and applications Pitman research notes in mathematics series Differentialgleichung (DE-588)4012249-9 gnd Periodische Lösung (DE-588)4199269-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4199269-6 (DE-588)4128130-5 (DE-588)4129061-6 (DE-588)4173245-5 |
| title | Abstract evolution equations, periodic problems and applications |
| title_auth | Abstract evolution equations, periodic problems and applications |
| title_exact_search | Abstract evolution equations, periodic problems and applications |
| title_full | Abstract evolution equations, periodic problems and applications Daniel Daners and Pablo Koch Medina |
| title_fullStr | Abstract evolution equations, periodic problems and applications Daniel Daners and Pablo Koch Medina |
| title_full_unstemmed | Abstract evolution equations, periodic problems and applications Daniel Daners and Pablo Koch Medina |
| title_short | Abstract evolution equations, periodic problems and applications |
| title_sort | abstract evolution equations periodic problems and applications |
| topic | Differentialgleichung (DE-588)4012249-9 gnd Periodische Lösung (DE-588)4199269-6 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Differentialgleichung Periodische Lösung Numerisches Verfahren Evolutionsgleichung Parabolische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005236669&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT danersdaniel abstractevolutionequationsperiodicproblemsandapplications AT kochmedinapablo abstractevolutionequationsperiodicproblemsandapplications |