Gradient inequalities: with applications to asymptotic behavior and stability of gradient-like systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2006]
|
| Schriftenreihe: | Mathematical surveys and monographs
Volume 126 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Auf der Titelrückseite: "Based on the Habilitationsschrift-University of Rostock, 2003" Aus dem Vorwort: "This monograph is based on my Habilitationsschrift finished in 2003 at the University of Rostock." |
| Beschreibung: | viii, 184 Seiten Diagramme |
| ISBN: | 0821840703 9780821840702 |
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| 100 | 1 | |a Huang, Sen-Zhong |d 1962- |e Verfasser |0 (DE-588)132696649 |4 aut | |
| 245 | 1 | 0 | |a Gradient inequalities |b with applications to asymptotic behavior and stability of gradient-like systems |c Sen-Zhong Huang |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2006] | |
| 264 | 4 | |c © 2006 | |
| 300 | |a viii, 184 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical surveys and monographs |v Volume 126 | |
| 500 | |a Auf der Titelrückseite: "Based on the Habilitationsschrift-University of Rostock, 2003" | ||
| 500 | |a Aus dem Vorwort: "This monograph is based on my Habilitationsschrift finished in 2003 at the University of Rostock." | ||
| 502 | |b Habilitationsschrift |c Universität Rostock |d 2003 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-1353-8 |
| 830 | 0 | |a Mathematical surveys and monographs |v Volume 126 |w (DE-604)BV000018014 |9 126 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020034834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1806323732353908736 |
|---|---|
| adam_text |
Contents
Preface.
. vu
CHAPTER 1
Introduction and overview of the results .1
1. The methodology .3
2. Convergence results for gradient-like trajectories.8
3. Applications to gradient-like systems in Hilbert spaces .10
4. Application to the stability problem.15
5. Additional remarks .17
CHAPTER 2
Gradient inequality.21
1. Basic properties of gradient maps .21
2. Gradient inequality .22
3. Finite-dimensional gradient inequality.25
4. Infinite-dimensional gradient inequality.34
5. Variational gradient inequality .45
6. Gradient inequality for monotone gradient maps.48
7. Optimal gradient inequality in Hilbert spaces.49
8. Remarks on gradient inequalities of type Gk .51
CHAPTER 3
Abstract convergence results .59
1. Gradient-like systems .59
2. Three technical lemmas.63
3. Convergence in gradient-like systems .67
4. Convergence in Hilbert spaces.76
5. Convergence in variational problems.98
CHAPTER 4
Applications to semilinear gradient-like systems
in Hilbert spaces .101
1. The generic case .101
vi CONTENTS
2. The perfect case .134
3. Results around the Laplacian operators .141
4. Ginzburg-Landau models for superconductivity .157
5. Convergence in porous medium models.160
CHAPTER 5
Applications to the stability problem .163
1. Stability of ground states .163
2. Convergence and stability of the steepest descent method .169
3. The structure of equilibria sets of convergent systems .173
4. Numeric test .174
Bibliography .177
Index.183 |
| any_adam_object | 1 |
| author | Huang, Sen-Zhong 1962- |
| author_GND | (DE-588)132696649 |
| author_facet | Huang, Sen-Zhong 1962- |
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| author_sort | Huang, Sen-Zhong 1962- |
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| bvnumber | BV025414647 |
| classification_rvk | SK 810 SK 660 SK 540 |
| ctrlnum | (OCoLC)266086751 (DE-599)BVBBV025414647 |
| discipline | Mathematik |
| format | Thesis Book |
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| indexdate | 2024-08-03T00:22:28Z |
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| isbn | 0821840703 9780821840702 |
| language | English |
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| physical | viii, 184 Seiten Diagramme |
| publishDate | 2006 |
| publishDateSearch | 2006 |
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| publisher | American Mathematical Society |
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| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Huang, Sen-Zhong 1962- Verfasser (DE-588)132696649 aut Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems Sen-Zhong Huang Providence, Rhode Island American Mathematical Society [2006] © 2006 viii, 184 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 126 Auf der Titelrückseite: "Based on the Habilitationsschrift-University of Rostock, 2003" Aus dem Vorwort: "This monograph is based on my Habilitationsschrift finished in 2003 at the University of Rostock." Habilitationsschrift Universität Rostock 2003 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe 978-1-4704-1353-8 Mathematical surveys and monographs Volume 126 (DE-604)BV000018014 126 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020034834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Huang, Sen-Zhong 1962- Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems Mathematical surveys and monographs |
| subject_GND | (DE-588)4113937-9 |
| title | Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems |
| title_auth | Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems |
| title_exact_search | Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems |
| title_full | Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems Sen-Zhong Huang |
| title_fullStr | Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems Sen-Zhong Huang |
| title_full_unstemmed | Gradient inequalities with applications to asymptotic behavior and stability of gradient-like systems Sen-Zhong Huang |
| title_short | Gradient inequalities |
| title_sort | gradient inequalities with applications to asymptotic behavior and stability of gradient like systems |
| title_sub | with applications to asymptotic behavior and stability of gradient-like systems |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020034834&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT huangsenzhong gradientinequalitieswithapplicationstoasymptoticbehaviorandstabilityofgradientlikesystems |