Asymptotic behaviour of solutions of evolutionary equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
1992
|
| Edition: | 1. publ. |
| Series: | Lezioni lincee
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 155 S. |
| ISBN: | 0521420237 052142237X |
Staff View
MARC
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| 245 | 1 | 0 | |a Asymptotic behaviour of solutions of evolutionary equations |c M. I. Vishik |
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Record in the Search Index
| _version_ | 1804121208066670592 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter I: Preliminaries 11
1 Attractors of evolutionary equations 11
2 Invariant manifolds 13
Chapter II: Local spectral asymptotics 17
3 Spectral asymptotics 17
4 Examples of local spectral asymptotics 22
Chapter III: Global spectral asymptotics 26
5 Global spectral asymptotics of trajectories 26
Chapter IV: Uniform approximation of trajectories
of semigroups depending on a parameter 36
6 The principal asymptotic term 36
7 Stabilised asymptotics of solutions of reaction diffusion
systems, hyperbolic and parabolic equations 44
Chapter V: The asymptotics of solutions of
reaction diffusion equations with small parameter 52
8 Formulation of the problem 52
9 A priori estimates 56
10 The stabilised asymptotics of u(t) 62
Chapter VI: Asymptotics of elements lying on the
attractor of solutions of the perturbed
evolutionary equations 69
11 The main result 69
12 Construction of the asymptotic expansion 71
13 Proof of Theorem 12.1 79
14 Proof of Propositions 13.1 13.3 85
15 Problem with boundary conditions u|an = 0, Au |an= 0 93
Chapter VII: Asymptotics of solutions of singular
perturbed evolutionary equations 97
16 Asymptotics of trajectories of the first
boundary value problem 97
17 Global asymptotics of solutions of singular
perturbed equation 106
Appendix: Non autonomous dynamical systems
and their attractors 112
Al Processes corresponding to non autonomous equations
and systems in mathematical physics 113
A2 Families of processes and their attractors:
the general framework 118
A3 Attractors of families of processes generated by
non autonomous equations and systems
in mathematical physics 125
A4 Upper bounds for the dimension of attractors of
non autonomous dynamic systems with quasi periodic terms 137
A5 On finite dimensionality of attractors of
non autonomous equations in mathematical physics
with quasi periodic terms 141
A6 Sections of attractors and their dimensionality;
the case of almost periodic terms 146
References ..151
101
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| any_adam_object | 1 |
| author | Višik, Marko I. 1921-2012 |
| author_GND | (DE-588)129619701 |
| author_facet | Višik, Marko I. 1921-2012 |
| author_role | aut |
| author_sort | Višik, Marko I. 1921-2012 |
| author_variant | m i v mi miv |
| building | Verbundindex |
| bvnumber | BV007038182 |
| classification_rvk | SK 540 |
| classification_tum | MAT 354f |
| ctrlnum | (OCoLC)260168516 (DE-599)BVBBV007038182 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV007038182 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:54:19Z |
| institution | BVB |
| isbn | 0521420237 052142237X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004465523 |
| oclc_num | 260168516 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-739 DE-29T DE-634 DE-11 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-739 DE-29T DE-634 DE-11 DE-188 |
| physical | 155 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Lezioni lincee |
| spelling | Višik, Marko I. 1921-2012 Verfasser (DE-588)129619701 aut Asymptotic behaviour of solutions of evolutionary equations M. I. Vishik 1. publ. Cambridge Cambridge Univ. Press 1992 155 S. txt rdacontent n rdamedia nc rdacarrier Lezioni lincee Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004465523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Višik, Marko I. 1921-2012 Asymptotic behaviour of solutions of evolutionary equations Evolutionsgleichung (DE-588)4129061-6 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| subject_GND | (DE-588)4129061-6 (DE-588)4134367-0 |
| title | Asymptotic behaviour of solutions of evolutionary equations |
| title_auth | Asymptotic behaviour of solutions of evolutionary equations |
| title_exact_search | Asymptotic behaviour of solutions of evolutionary equations |
| title_full | Asymptotic behaviour of solutions of evolutionary equations M. I. Vishik |
| title_fullStr | Asymptotic behaviour of solutions of evolutionary equations M. I. Vishik |
| title_full_unstemmed | Asymptotic behaviour of solutions of evolutionary equations M. I. Vishik |
| title_short | Asymptotic behaviour of solutions of evolutionary equations |
| title_sort | asymptotic behaviour of solutions of evolutionary equations |
| topic | Evolutionsgleichung (DE-588)4129061-6 gnd Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd |
| topic_facet | Evolutionsgleichung Asymptotisches Lösungsverhalten |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004465523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT visikmarkoi asymptoticbehaviourofsolutionsofevolutionaryequations |