Optimal processes on manifolds: an application of Stokes' theorem
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1982
|
| Series: | Lecture notes in mathematics
963 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 124 S. |
| ISBN: | 3540119639 0387119639 |
Staff View
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| 245 | 1 | 0 | |a Optimal processes on manifolds |b an application of Stokes' theorem |c Roel Nottrot |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1982 | |
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| 650 | 4 | |a Variétés (Mathématiques) | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 4 | |a Stokes' theorem | |
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Record in the Search Index
| _version_ | 1804114692471259136 |
|---|---|
| adam_text | CONTENTS .
I. INTRODUCTION. 1
1. Manifolds 1
2. Linear Alternating Functions 5
3. Differential Forms 9
4. Derivatives n
5. Integration 12
6. Stokes theorem 14
II. OPTIMAL PROCESSES ON MANIFOLDS. 20
1. Problem statement 20
2. Variations 22
3. A fundamental inequality 24
4. The maximum principle 28
III. PROCESSES, DESCRIBED BY ORDINARY DIFFERENTIAL
EQUATIONS. 30
1. Optimal Processes 30
2. The maximum principle 31
3. An application 35
IV. PROCESSES, DESCRIBED BY FIRST ORDER PARTIAL
DIFFERENTIAL EQUATIONS. 41
1. Optimal processes 41
2. The normal form 42
3. The effect of a local variation 44
4. Examples 47
VI
V. PROCESSES, DESCRIBED BY SECOND ORDER PARTIAL
DIFFERENTIAL EQUATIONS. 54
1. Preliminaries 54
Equations of hyperbolic types
2. The Cauchy problem 61
3. The characteristic initial value problem 70
Equations of parabolic type;
4. The first initial boundary value problem 74
5. The second initial boundary value problem 85
6. The third initial boundary value problem 88
Equations of elliptic type;
7. The first boundary value problem 92
8. The second boundary value problem 99
5. The third boundary value problem 101
10. Three independent variables 103
11. Examples of applications, 110
12. An example of boundary control 117
REFERENCES 120
INDEX 123
|
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| author | Nottrot, Roel |
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| institution | BVB |
| isbn | 3540119639 0387119639 |
| language | English |
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| physical | VI, 124 S. |
| psigel | TUB-nvmb |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Nottrot, Roel Verfasser aut Optimal processes on manifolds an application of Stokes' theorem Roel Nottrot Berlin [u.a.] Springer 1982 VI, 124 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 963 Commande, Théorie de la Dynamique différentiable Optimisation mathématique Stokes, Théorème de Variétés (Mathématiques) Differentiable dynamical systems Manifolds (Mathematics) Stokes' theorem Stokes-Integralsatz (DE-588)4759656-9 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Pontrjagin-Maximumprinzip (DE-588)4130753-7 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 s Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s Stokes-Integralsatz (DE-588)4759656-9 s DE-604 Pontrjagin-Maximumprinzip (DE-588)4130753-7 s Lecture notes in mathematics 963 (DE-604)BV000676446 963 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000137466&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nottrot, Roel Optimal processes on manifolds an application of Stokes' theorem Lecture notes in mathematics Commande, Théorie de la Dynamique différentiable Optimisation mathématique Stokes, Théorème de Variétés (Mathématiques) Differentiable dynamical systems Manifolds (Mathematics) Stokes' theorem Stokes-Integralsatz (DE-588)4759656-9 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Pontrjagin-Maximumprinzip (DE-588)4130753-7 gnd |
| subject_GND | (DE-588)4759656-9 (DE-588)4121428-6 (DE-588)4012269-4 (DE-588)4130753-7 |
| title | Optimal processes on manifolds an application of Stokes' theorem |
| title_auth | Optimal processes on manifolds an application of Stokes' theorem |
| title_exact_search | Optimal processes on manifolds an application of Stokes' theorem |
| title_full | Optimal processes on manifolds an application of Stokes' theorem Roel Nottrot |
| title_fullStr | Optimal processes on manifolds an application of Stokes' theorem Roel Nottrot |
| title_full_unstemmed | Optimal processes on manifolds an application of Stokes' theorem Roel Nottrot |
| title_short | Optimal processes on manifolds |
| title_sort | optimal processes on manifolds an application of stokes theorem |
| title_sub | an application of Stokes' theorem |
| topic | Commande, Théorie de la Dynamique différentiable Optimisation mathématique Stokes, Théorème de Variétés (Mathématiques) Differentiable dynamical systems Manifolds (Mathematics) Stokes' theorem Stokes-Integralsatz (DE-588)4759656-9 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Pontrjagin-Maximumprinzip (DE-588)4130753-7 gnd |
| topic_facet | Commande, Théorie de la Dynamique différentiable Optimisation mathématique Stokes, Théorème de Variétés (Mathématiques) Differentiable dynamical systems Manifolds (Mathematics) Stokes' theorem Stokes-Integralsatz Optimale Kontrolle Differenzierbare Mannigfaltigkeit Pontrjagin-Maximumprinzip |
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