Generalized solutions of first order PDEs: the dynamical optimization perspective
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
1995
|
| Schriftenreihe: | Systems & control
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006749744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke. - Literaturverz. S. 291 - 310 |
| Umfang: | XI, 312 S. graph. Darst. |
| ISBN: | 3764337400 0817637400 |
Internformat
MARC
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| 100 | 1 | |a Subbotin, Andrej I. |e Verfasser |4 aut | |
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| 246 | 1 | 3 | |a Generalized solutions of First-Order-PDEs |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1995 | |
| 300 | |a XI, 312 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Systems & control | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke. - Literaturverz. S. 291 - 310 | ||
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| 650 | 0 | 7 | |a Numerische Mathematik |0 (DE-588)4042805-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 96 A 420 0102 MAT 353f 2001 A 32547 |
|---|---|
| DE-BY-TUM_katkey | 652528 |
| DE-BY-TUM_location | Mag 01 |
| DE-BY-TUM_media_number | 040001326763 040010368728 |
| _version_ | 1821938483071025152 |
| adam_text | Contents
Introduction vii
I Generalized Characteristics of First Order PDE s 1
1 The Classical Method of Characteristics 1
2 Characteristic Inclusions 8
3 Upper and Lower Semicontinuous Solutions 15
4 Criteria of Weak Invariance for Minimax Solutions 24
5 Piecewise Smooth Solutions 41
II Cauchy Problems for Hamilton—Jacobi Equations 55
6 Minimax Solutions of Hamilton Jacobi Equations 55
7 Uniqueness of Minimax Solution of Cauchy Problem for
Hamilton Jacobi Equation 62
8 Existence of Minimax Solution of Cauchy Problem for
Hamilton Jacobi Equation 69
9 Uniqueness under Weakened Assumptions 85
10 Constructive and Numerical Methods 96
III Differential Games 115
11 Basic Notions of the Theory of Differential Games 115
12 Proof of Existence of Value Function of Differential Game 125
13 Stable Bridges and Extremal Strategies 134
14 Some Remarks 147
15 Mixed Feedback Strategies and Counter Strategies 162
16 Constructive and Numerical Methods of the Theory of
Differential Games 276
IV Boundary Value Problems for First Order PDE s 201
17 Cauchy Problems for Hamilton Jacobi Equations with
Additional Conditions in the Form of Inequalities 201
vi Contents
18 Discontinuous Solutions of Dirichlet Type
Boundary Value Problem 219
19 Time Optimal Differential Games 237
20 Piecewise Linear Approximations to Minimax Solutions of
Hamilton Jacobi Equations 251
Appendix 263
Al Justification of the Classical Method of Characteristics . . 263
A2 Multifunctions 266
A3 Semicontinuous Functions 268
A4 Convex Functions 269
A5 Contingent Tangent Cones, Directional Derivatives,
Subdifferentials 270
A6 On a Property of Subdifferentials 276
A7 Differential Inclusions 279
A8 Criteria for Weak Invariance 283
Bibliography 291
Index 311
|
| any_adam_object | 1 |
| author | Subbotin, Andrej I. |
| author_facet | Subbotin, Andrej I. |
| author_role | aut |
| author_sort | Subbotin, Andrej I. |
| author_variant | a i s ai ais |
| building | Verbundindex |
| bvnumber | BV010163741 |
| callnumber-first | Q - Science |
| callnumber-label | QA374 |
| callnumber-raw | QA374 |
| callnumber-search | QA374 |
| callnumber-sort | QA 3374 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| classification_tum | MAT 353f MAT 917f |
| ctrlnum | (OCoLC)31331559 (DE-599)BVBBV010163741 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010163741 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T09:49:06Z |
| institution | BVB |
| isbn | 3764337400 0817637400 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006749744 |
| oclc_num | 31331559 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-703 DE-20 DE-634 DE-11 DE-188 DE-19 DE-BY-UBM DE-706 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-703 DE-20 DE-634 DE-11 DE-188 DE-19 DE-BY-UBM DE-706 |
| physical | XI, 312 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Systems & control |
| spellingShingle | Subbotin, Andrej I. Generalized solutions of first order PDEs the dynamical optimization perspective Equations aux dérivées partielles - Solutions numériques ram Differential equations, Partial Numerical solutions Differentialspiel (DE-588)4012253-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Ordnung 1 (DE-588)4372621-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Minimaxlösung (DE-588)4372620-3 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd |
| subject_GND | (DE-588)4012253-0 (DE-588)4042805-9 (DE-588)4147404-1 (DE-588)4372621-5 (DE-588)4044779-0 (DE-588)4372620-3 (DE-588)4158954-3 |
| title | Generalized solutions of first order PDEs the dynamical optimization perspective |
| title_alt | Generalized solutions of First-Order-PDEs |
| title_auth | Generalized solutions of first order PDEs the dynamical optimization perspective |
| title_exact_search | Generalized solutions of first order PDEs the dynamical optimization perspective |
| title_full | Generalized solutions of first order PDEs the dynamical optimization perspective Andreĭ I. Subbotin |
| title_fullStr | Generalized solutions of first order PDEs the dynamical optimization perspective Andreĭ I. Subbotin |
| title_full_unstemmed | Generalized solutions of first order PDEs the dynamical optimization perspective Andreĭ I. Subbotin |
| title_short | Generalized solutions of first order PDEs |
| title_sort | generalized solutions of first order pdes the dynamical optimization perspective |
| title_sub | the dynamical optimization perspective |
| topic | Equations aux dérivées partielles - Solutions numériques ram Differential equations, Partial Numerical solutions Differentialspiel (DE-588)4012253-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Ordnung 1 (DE-588)4372621-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Minimaxlösung (DE-588)4372620-3 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd |
| topic_facet | Equations aux dérivées partielles - Solutions numériques Differential equations, Partial Numerical solutions Differentialspiel Numerische Mathematik Cauchy-Anfangswertproblem Ordnung 1 Partielle Differentialgleichung Minimaxlösung Hamilton-Jacobi-Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006749744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT subbotinandreji generalizedsolutionsoffirstorderpdesthedynamicaloptimizationperspective AT subbotinandreji generalizedsolutionsoffirstorderpdes |
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Bibliotheksmagazin
| Signatur: |
0001 96 A 420
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 353f 2001 A 32547
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |