Semiconcave functions, Hamilton-Jacobi equations, and optimal control:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2004
|
| Schriftenreihe: | Progress in nonlinear differential equations and their applications
58 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XII, 304 S. |
| ISBN: | 0817643362 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | PIERMARCO CANNARSA CARLO SINESTRARI SEMICONCAVE FUNCTIONS,
HAMILTON-JACOBI EQUATIONS, AND OPTIMAL CONTROL BOSTON** BASEL S BERLIN
CONTENTS PREFACE VII 1 A MODEL PROBLEM 1 1.1 SEMICONCAVE FUNCTIONS 2 1.2
A PROBLEM IN THE CALCULUS OF VARIATIONS 4 1.3 THE HOPF FORMULA 6 1.4
HAMILTON-JACOBI EQUATIONS 9 1.5 METHOD OF CHARACTERISTICS 11 1.6
SEMICONCAVITY OF HOPF S SOLUTION 18 1.7 SEMICONCAVITY AND ENTROPY
SOLUTIONS 25 2 SEMICONCAVE FUNCTIONS 29 2.1 DEFINITION AND BASIC
PROPERTIES , 29 2.2 EXAMPLES 38 2.3 SPECIAL PROPERTIES OF SCL (A) 41 2.4
A DIFFERENTIAL HARNACK INEQUALITY 43 2.5 A GENERALIZED SEMICONCAVITY
ESTIMATE ! 45 3 GENERALIZED GRADIENTS AND SEMICONCAVITY 49 3.1
GENERALIZED DIFFERENTIALS 50 3.2 DIRECTIONAL DERIVATIVES 55 3.3
SUPERDIFFERENTIAL OF A SEMICONCAVE FUNCTION 56 3.4 MARGINAL FUNCTIONS 65
3.5 INF-CONVOLUTIONS 68 3.6 PROXIMAL ANALYSIS AND SEMICONCAVITY 73 4
SINGULARITIES OF SEMICONCAVE FUNCTIONS 77 4.1 RECTIFIABILITY OF THE
SINGULAR SETS 77 4.2 PROPAGATION ALONG LIPSCHITZ ARCS 84 4.3 SINGULAR
SETS OF HIGHER DIMENSION 88 4.4 APPLICATION TO THE DISTANCE FUNCTION 94
XII CONTENTS 5 HAMILTON-JACOBI EQUATIONS 97 5.1 METHOD OF
CHARACTERISTICS 98 5.2 VISCOSITY SOLUTIONS 105 5.3 SEMICONCAVITY AND
VISCOSITY 112 5.4 PROPAGATION OF SINGULARITIES 121 5.5 GENERALIZED
CHARACTERISTICS 124 5.6 EXAMPLES 135 6 CALCULUS OF VARIATIONS 141 6.1
EXISTENCE OF MINIMIZERS 142 6.2 NECESSARY CONDITIONS AND REGULARITY 147
6.3 THE PROBLEM WITH ONE FREE ENDPOINT 152 6.4 THE VALUE FUNCTION 161
6.5 THE SINGULAR SET OF U 170 6.6 RECTIFIABILITY OF E 174 7 OPTIMAL
CONTROL PROBLEMS 185 7.1 THE MAYER PROBLEM 186 7.2 THE VALUE FUNCTION
191 7.3 OPTIMALITY CONDITIONS 203 7.4 THE BOLZA PROBLEM 213 8 CONTROL
PROBLEMS WITH EXIT TIME 229 8.1 OPTIMAL CONTROL PROBLEMS WITH EXIT TIME
230 8.2 LIPSCHITZ CONTINUITY AND SEMICONCAVITY 237 8.3 SEMICONVEXITY
RESULTS IN THE LINEAR CASE 253 8.4 OPTIMALITY CONDITIONS 258 APPENDIX
273 A. 1 CONVEX SETS AND CONVEX FUNCTIONS 273 A. 2 THE LEGENDRE
TRANSFORM 282 A. 3 HAUSDORFF MEASURE AND RECTIFIABLE SETS 288 A. 4
ORDINARY DIFFERENTIAL EQUATIONS 289 A. 5 SET-VALUED ANALYSIS 292 A. 6 BV
FUNCTIONS 293 REFERENCES 295 INDEX 303
|
| any_adam_object | 1 |
| author | Cannarsa, Piermarco 1957- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515/.355 |
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| id | DE-604.BV017886463 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:22:51Z |
| institution | BVB |
| isbn | 0817643362 |
| language | English |
| lccn | 2004043695 |
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| physical | XII, 304 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in nonlinear differential equations and their applications |
| series2 | Progress in nonlinear differential equations and their applications |
| spelling | Cannarsa, Piermarco 1957- Verfasser (DE-588)17369361X aut Semiconcave functions, Hamilton-Jacobi equations, and optimal control Piermarco Cannarsa, Carlo Sinestrari Boston [u.a.] Birkhäuser 2004 XII, 304 S. txt rdacontent n rdamedia nc rdacarrier Progress in nonlinear differential equations and their applications 58 Includes bibliographical references and index Commande, Théorie de la Fonctions concaves Hamilton-Jacobi, Équations de Optimisation mathématique Concave functions Control theory Hamilton-Jacobi equations Mathematical optimization Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Konkave Optimierung (DE-588)4306302-0 gnd rswk-swf Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd rswk-swf Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 s Optimale Kontrolle (DE-588)4121428-6 s DE-604 Konkave Optimierung (DE-588)4306302-0 s Sinestrari, Carlo Sonstige oth Progress in nonlinear differential equations and their applications 58 (DE-604)BV007934389 58 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010727872&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cannarsa, Piermarco 1957- Semiconcave functions, Hamilton-Jacobi equations, and optimal control Progress in nonlinear differential equations and their applications Commande, Théorie de la Fonctions concaves Hamilton-Jacobi, Équations de Optimisation mathématique Concave functions Control theory Hamilton-Jacobi equations Mathematical optimization Optimale Kontrolle (DE-588)4121428-6 gnd Konkave Optimierung (DE-588)4306302-0 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4306302-0 (DE-588)4158954-3 |
| title | Semiconcave functions, Hamilton-Jacobi equations, and optimal control |
| title_auth | Semiconcave functions, Hamilton-Jacobi equations, and optimal control |
| title_exact_search | Semiconcave functions, Hamilton-Jacobi equations, and optimal control |
| title_full | Semiconcave functions, Hamilton-Jacobi equations, and optimal control Piermarco Cannarsa, Carlo Sinestrari |
| title_fullStr | Semiconcave functions, Hamilton-Jacobi equations, and optimal control Piermarco Cannarsa, Carlo Sinestrari |
| title_full_unstemmed | Semiconcave functions, Hamilton-Jacobi equations, and optimal control Piermarco Cannarsa, Carlo Sinestrari |
| title_short | Semiconcave functions, Hamilton-Jacobi equations, and optimal control |
| title_sort | semiconcave functions hamilton jacobi equations and optimal control |
| topic | Commande, Théorie de la Fonctions concaves Hamilton-Jacobi, Équations de Optimisation mathématique Concave functions Control theory Hamilton-Jacobi equations Mathematical optimization Optimale Kontrolle (DE-588)4121428-6 gnd Konkave Optimierung (DE-588)4306302-0 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd |
| topic_facet | Commande, Théorie de la Fonctions concaves Hamilton-Jacobi, Équations de Optimisation mathématique Concave functions Control theory Hamilton-Jacobi equations Mathematical optimization Optimale Kontrolle Konkave Optimierung Hamilton-Jacobi-Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010727872&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV007934389 |
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