Observation and control for operator semigroups:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser
[2009]
|
| Schriftenreihe: | Birkhäuser advanced texts
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 459 - 474 |
| Beschreibung: | xi, 483 Seiten 24 cm |
| ISBN: | 9783764389932 9783764389949 |
Internformat
MARC
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| 245 | 1 | 0 | |a Observation and control for operator semigroups |c Marius Tucsnak ; George Weiss |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser |c [2009] | |
| 264 | 4 | |c © 2009 | |
| 300 | |a xi, 483 Seiten |c 24 cm | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Birkhäuser advanced texts | |
| 500 | |a Literaturverz. S. 459 - 474 | ||
| 650 | 4 | |a Operatorhalbgruppe - Unendlichdimensionales System | |
| 650 | 4 | |a Linear operators | |
| 650 | 4 | |a Semigroups of operators | |
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Datensatz im Suchindex
| _version_ | 1804139360782647296 |
|---|---|
| adam_text | CONTENTS PREFACE IX 1 OBSERVABILITY AND CONTROLLABILITY FOR
FINITE-DIMENSIONAL SYSTEMS 1.1 NORMS AND INNER PRODUCTS 1 1.2 OPERATORS
ON FINITE-DIMENSIONAL SPACES 5 1.3 MATRIX EXPONENTIALS 7 1.4
OBSERVABILITY AND CONTROLLABILITY FOR FINITE-DIMENSIONAL LINEAR SYSTEMS
11 1.5 THE HAUTUS TEST AND GRAMIANS 15 2 OPERATOR SEMIGROUPS 2.1
STRONGLY CONTINUOUS SEMIGROUPS AND THEIR GENERATORS 20 2.2 THE SPECTRUM
AND THE RESOLVENTS OF AN OPERATOR 24 2.3 THE RESOLVENTS OF A SEMIGROUP
GENERATOR AND THE SPACE D^ 00 ) 28 2.4 INVARIANT SUBSPACES FOR
SEMIGROUPS 33 2.5 RIESZ BASES 36 2.6 DIAGONALIZABLE OPERATORS AND
SEMIGROUPS 40 2.7 STRONGLY CONTINUOUS GROUPS 47 2.8 THE ADJOINT
SEMIGROUP 53 2.9 THE EMBEDDINGS V C H C V 56 2.10 THE SPACES X X AND X_
X 59 2.11 BOUNDED PERTURBATIONS OF A GENERATOR 65 3 SEMIGROUPS OF
CONTRACTIONS 3.1 DISSIPATIVE AND M-DISSIPATIVE OPERATORS 69 3.2
SELF-ADJOINT OPERATORS 73 3.3 POSITIVE OPERATORS 78 3.4 THE SPACES HI
AND H_ 81 3.5 STURM-LIOUVILLE OPERATORS 88 3. BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/990501183 DIGITALISIERT DURCH VI CONTENTS
3.8 THE THEOREMS OF LUMER-PHILLIPS AND STONE 102 3.9 THE WAVE EQUATION
WITH BOUNDARY DAMPING 106 4 CONTROL AND OBSERVATION OPERATORS 4.1
SOLUTIONS OF NON-HOMOGENEOUS EQUATIONS 112 4.2 ADMISSIBLE CONTROL
OPERATORS 116 4.3 ADMISSIBLE OBSERVATION OPERATORS 121 4.4 THE DUALITY
BETWEEN THE ADMISSIBILITY CONCEPTS 126 4.5 TWO REPRESENTATION THEOREMS
128 4.6 INFINITE-TIME ADMISSIBILITY 134 4.7 REMARKS AND BIBLIOGRAPHICAL
NOTES ON CHAPTER 4 136 5 TESTING ADMISSIBILITY 5.1 GRAMIANS AND LYAPUNOV
INEQUALITIES 139 5.2 ADMISSIBLE CONTROL OPERATORS FOR LEFT-INVERTIBLE
SEMIGROUPS .... 144 5.3 ADMISSIBILITY FOR DIAGONAL SEMIGROUPS 147 5.4
SOME UNBOUNDED PERTURBATIONS OF GENERATORS 157 5.5 ADMISSIBLE CONTROL
OPERATORS FOR PERTURBED SEMIGROUPS 164 5.6 REMARKS AND BIBLIOGRAPHICAL
NOTES ON CHAPTER 5 168 6 OBSERVABILITY 6.1 SOME OBSERVABILITY CONCEPTS
173 6.2 SOME EXAMPLES BASED ON THE STRING EQUATION 179 6.3 ROBUSTNESS OF
EXACT OBSERVABILITY WITH RESPECT TO ADMISSIBLE PERTURBATIONS OF THE
GENERATOR 184 6.4 SIMULTANEOUS EXACT OBSERVABILITY 190 6.5 A HAUTUS-TYPE
NECESSARY CONDITION FOR EXACT OBSERVABILITY .... 194 6.6 HAUTUS-TYPE
TESTS FOR EXACT OBSERVABILITY WITH A SKEW-ADJOINT GENERATOR 197 6.7 PROM
W = * A$W TO Z = IA^Z 20 CONTENTS VII 7.6 THE WAVE EQUATION WITH
BOUNDARY DAMPING AND BOUNDARY VELOCITY OBSERVATION 251 7.7 REMARKS AND
BIBLIOGRAPHICAL NOTES ON CHAPTER 7 257 8 NON-HARMONIC FOURIER SERIES AND
EXACT OBSERVABILITY 8.1 A THEOREM OF INGHAM 261 8.2 VARIABLE
COEFFICIENTS PDES IN ONE SPACE DIMENSION WITH BOUNDARY OBSERVATION 266
8.3 DOMAINS ASSOCIATED WITH A SEQUENCE 270 8.4 THE RESULTS OF KAHANE AND
BEURLING 276 8.5 THE SCHRODINGER AND PLATE EQUATIONS IN A RECTANGULAR
DOMAIN WITH DISTRIBUTED OBSERVATION 280 8.6 REMARKS AND BIBLIOGRAPHICAL
NOTES ON CHAPTER 8 284 9 OBSERVABILITY FOR PARABOLIC EQUATIONS 9.1
PRELIMINARY RESULTS 287 9.2 FROM W = -A O W TO Z = ~A O Z 289 9.3 FINAL
STATE OBSERVABILITY WITH GEOMETRIC CONDITIONS 295 9.4 A GLOBAL CARLEMAN
ESTIMATE FOR THE HEAT OPERATOR 298 9.5 FINAL STATE OBSERVABILITY WITHOUT
GEOMETRIC CONDITIONS 312 9.6 REMARKS AND BIBLIOGRAPHICAL NOTES ON
CHAPTER 9 314 10 BOUNDARY CONTROL SYSTEMS 10.1 WHAT IS A BOUNDARY
CONTROL SYSTEM? 317 10.2 TWO SIMPLE EXAMPLES IN ONE SPACE DIMENSION 322
10.2.1 A ONE-DIMENSIONAL HEAT EQUATION WITH NEUMANN BOUNDARY CONTROL 323
10.2.2 A STRING EQUATION WITH NEUMANN BOUNDARY CONTROL .... 324 10. VIII
CONTENTS 11.5 NULL-CONTROLLABILITY FOR HEAT AND CONVECTION-DIFFUSION
EQUATIONS 375 11.6 BOUNDARY CONTROLLABILITY FOR SCHRODINGER AND WAVE
EQUATIONS . . . 378 11.6.1 BOUNDARY CONTROLLABILITY FOR THE SCHRODINGER
EQUATION . . 379 11.6.2 BOUNDARY CONTROLLABILITY FOR THE WAVE EQUATION
380 11.7 REMARKS AND BIBLIOGRAPHICAL NOTES ON CHAPTER 11 381 12 APPENDIX
I: SOME BACKGROUND ON FUNCTIONAL ANALYSIS 12.1 THE CLOSED-GRAPH THEOREM
AND SOME CONSEQUENCES 385 12.2 COMPACT OPERATORS 387 12.3 THE SQUARE
ROOT OF A POSITIVE OPERATOR 391 12.4 THE FOURIER AND LAPLACE
TRANSFORMATIONS 394 12.5 BANACH SPACE-VALUED L P FUNCTIONS 399 13
APPENDIX II: SOME BACKGROUND ON SOBOLEV SPACES 13.1 TEST FUNCTIONS 404
13.2 DISTRIBUTIONS ON A DOMAIN 408 13.3 THE OPERATORS DIV, GRAD, ROT AND
A 412 13.4 DEFINITION AND FIRST PROPERTIES OF SOBOLEV SPACES 415 13.5
REGULARITY OF THE BOUNDARY AND SOBOLEV SPACES ON MANIFOLDS . . . 420
13.6 TRACE OPERATORS AND THE SPACE WP O (N) 424 13.7 THE GREEN FORMULAS
AND EXTENSIONS OF TRACE OPERATORS 430 14 APPENDIX III: SOME BACKGROUND
ON DIFFERENTIAL CALCULUS 14.1 CRITICAL POINTS AND SARD S THEOREM 435
14.2 EXISTENCE OF MORSE FUNCTIONS ON Q. 437 14.3 PROOF OF THEOREM 9.4.3
441 15 APPENDIX IV: UNIQUE CONTINUATION FOR ELLIPTIC OPERATORS 15.
|
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| author | Tucsnak, Marius Weiss, George |
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T21:42:51Z |
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| isbn | 9783764389932 9783764389949 |
| language | English |
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| spelling | Tucsnak, Marius (DE-588)103140693X aut Observation and control for operator semigroups Marius Tucsnak ; George Weiss Basel ; Boston ; Berlin Birkhäuser [2009] © 2009 xi, 483 Seiten 24 cm txt rdacontent n rdamedia nc rdacarrier Birkhäuser advanced texts Literaturverz. S. 459 - 474 Operatorhalbgruppe - Unendlichdimensionales System Linear operators Semigroups of operators Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Operatorhalbgruppe (DE-588)4172620-0 gnd rswk-swf Operatorhalbgruppe (DE-588)4172620-0 s Unendlichdimensionales System (DE-588)4207956-1 s DE-604 Weiss, George aut Erscheint auch als Online-Ausgabe 978-3-7643-8994-9 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017721512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tucsnak, Marius Weiss, George Observation and control for operator semigroups Operatorhalbgruppe - Unendlichdimensionales System Linear operators Semigroups of operators Unendlichdimensionales System (DE-588)4207956-1 gnd Operatorhalbgruppe (DE-588)4172620-0 gnd |
| subject_GND | (DE-588)4207956-1 (DE-588)4172620-0 |
| title | Observation and control for operator semigroups |
| title_auth | Observation and control for operator semigroups |
| title_exact_search | Observation and control for operator semigroups |
| title_full | Observation and control for operator semigroups Marius Tucsnak ; George Weiss |
| title_fullStr | Observation and control for operator semigroups Marius Tucsnak ; George Weiss |
| title_full_unstemmed | Observation and control for operator semigroups Marius Tucsnak ; George Weiss |
| title_short | Observation and control for operator semigroups |
| title_sort | observation and control for operator semigroups |
| topic | Operatorhalbgruppe - Unendlichdimensionales System Linear operators Semigroups of operators Unendlichdimensionales System (DE-588)4207956-1 gnd Operatorhalbgruppe (DE-588)4172620-0 gnd |
| topic_facet | Operatorhalbgruppe - Unendlichdimensionales System Linear operators Semigroups of operators Unendlichdimensionales System Operatorhalbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017721512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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