l goes to plus infinity:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2002
|
| Schriftenreihe: | Birkhäuser advanced texts
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 180 S. graph. Darst. |
| ISBN: | 376436646X |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804138979916775424 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1. Introduction to Linear Elliptic Problems 1
1.1. The Lax-Milgram theorem 1
1.2. Elementary notions on Sobolev spaces 3
1.3. Applications to linear elliptic problems 8
Chapter 2. Some Model Techniques 17
2.1. The case of lateral Dirichlet boundary conditions on a rectangle ... 17
2.2. The case of lateral Neumann boundary conditions on a rectangle .. 21
2.3. The case of lateral Dirichlet boundary conditions revisited 29
2.4. A different point of view 33
Open problems 36
Chapter 3. A General Asymptotic Theory
for Linear Elliptic Problems 37
3.1. A general convergence result in Hl(£le0) 40
3.2. A sharper rate of convergence 45
3.3. Convergence in higher Sobolev spaces 52
Open problems 58
Chapter 4. Nonlinear Elliptic Problems 59
4.1. Variational inequalities 59
4.2. Quasilinear elliptic problems 66
4.3. Strongly nonlinear problems 74
Open problems 76
Chapter 5. Asymptotic Behaviour of some
Nonlinear Elliptic Problems 77
5.1. The case of variational inequalities 77
5.2. The case of quasilinear problems 84
Open problems 99
Chapter 6. Elliptic Systems 101
6.1. Some inequalities 101
6.2. Existence results for linear elliptic systems 116
6.3. Nonlinear elliptic systems 125
Open problems 126
vi Contents
Chapter 7. Asymptotic Behaviour of Elliptic Systems 127
7.1. The case of linear elliptic systems satisfying
the Legendre condition 127
7.2. The system of elasticity 131
Open problems 136
Chapter 8. Parabolic Equations 137
8.1. Functional spaces for parabolic problems 137
8.2. Linear parabolic problems 142
8.3. Nonlinear parabolic problems 146
Chapter 9. Asymptotic Behaviour of Parabolic Problems 153
9.1. The linear case 153
9.2. A nonlinear case 162
Open problems 175
Concluding Remark 177
Bibliography 179
Index 181
|
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| discipline | Mathematik |
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| id | DE-604.BV023787002 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:36:48Z |
| institution | BVB |
| isbn | 376436646X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017429210 |
| oclc_num | 890255027 |
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| owner_facet | DE-634 DE-188 |
| physical | VIII, 180 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
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| series2 | Birkhäuser advanced texts |
| spelling | Chipot, Michel 1949- Verfasser (DE-588)110320999 aut l goes to plus infinity Michel Chipot Basel [u.a.] Birkhäuser 2002 VIII, 180 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Birkhäuser advanced texts Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 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=017429210&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chipot, Michel 1949- l goes to plus infinity Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4134367-0 (DE-588)4044779-0 |
| title | l goes to plus infinity |
| title_auth | l goes to plus infinity |
| title_exact_search | l goes to plus infinity |
| title_full | l goes to plus infinity Michel Chipot |
| title_fullStr | l goes to plus infinity Michel Chipot |
| title_full_unstemmed | l goes to plus infinity Michel Chipot |
| title_short | l goes to plus infinity |
| title_sort | l goes to plus infinity |
| topic | Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Asymptotisches Lösungsverhalten Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017429210&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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