Semigroups, boundary value problems and Markov processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 325 - 328 |
| Beschreibung: | XI, 337 S. graph. Darst. |
| ISBN: | 3540406514 |
Internformat
MARC
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| 100 | 1 | |a Taira, Kazuaki |d 1946- |e Verfasser |0 (DE-588)120483858 |4 aut | |
| 245 | 1 | 0 | |a Semigroups, boundary value problems and Markov processes |c Kazuaki Taira |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a XI, 337 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 500 | |a Literaturverz. S. 325 - 328 | ||
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| 650 | 4 | |a Markov processes | |
| 650 | 4 | |a Semigroups | |
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Datensatz im Suchindex
| _version_ | 1804130290366414848 |
|---|---|
| adam_text | KAZUAKI TAIRA SEMIGROUPS, BOUNDARY VALUE PROBLEMS AND MARKOV PROCESSES
SPRINGER CONTENTS 1 INTRODUCTION AND MAIN RESULTS 1 2 THEORY OF
SEMIGROUPS 19 2.1 BANACH SPACE VALUED FUNCTIONS 19 2.2 OPERATOR VALUED
FUNCTIONS 21 2.3 EXPONENTIAL FUNCTIONS 22 2.4 CONTRACTION SEMIGROUPS 23
2.5 ANALYTIC SEMIGROUPS 35 3 MARKOV PROCESSES AND SEMIGROUPS 47 3.1
MARKOV PROCESSES 47 3.2 TRANSITION FUNCTIONS AND FELLER SEMIGROUPS 51
3.3 GENERATION THEOREMS FOR FELLER SEMIGROUPS 60 3.4 BOREL KERNELS AND
THE MAXIMUM PRINCIPLE 70 4 THEORY OF DISTRIBUTIONS 73 4.1 NOTATION 73
4.2 IP SPACES 74 4.3 DISTRIBUTIONS 80 4.4 THE FOURIER TRANSFORM 87 4.5
OPERATORS AND KERNELS 92 4.6 LAYER POTENTIALS 93 4.6.1 THE JUMP FORMULA
93 4.6.2 SINGLE AND DOUBLE LAYER POTENTIALS 94 4.6.3 THE GREEN
REPRESENTATION FORMULA 95 5 THEORY OF PSEUDO-DIFFERENTIAL OPERATORS 97
5.1 FUNCTION SPACES 97 5.2 FOURIER INTEGRAL OPERATORS 102 5.2.1 SYMBOL
CLASSES 102 5.2.2 PHASE FUNCTIONS 104 X CONTENTS 5.2.3 OSCILLATORY
INTEGRALS 105 5.2.4 FOURIER INTEGRAL OPERATORS 107 5.3
PSEUDO-DIFFERENTIAL OPERATORS 108 5.4 POTENTIALS AND PSEUDO-DIFFERENTIAL
OPERATORS 115 5.5 THE TRANSMISSION PROPERTY 116 5.6 THE BOUTET DE MONVEL
CALCULUS 118 6 ELLIPTIC BOUNDARY VALUE PROBLEMS 121 6.1 THE DIRICHLET
PROBLEM 121 6.2 FORMULATION OF A BOUNDARY VALUE PROBLEM 127 6.3
REDUCTION TO THE BOUNDARY 129 7 ELLIPTIC BOUNDARY VALUE PROBLEMS AND
FELLER SEMIGROUPS .. 135 7.1 FORMULATION OF A PROBLEM 135 7.2
TRANSVERSAL CASE 140 7.2.1 GENERATION THEOREM FOR FELLER SEMIGROUPS 141
7.2.2 SKETCH OF PROOF OF THEOREM 7.1 141 7.2.3 PROOF OF THEOREM 7.15 147
7.3 NON-TRANSVERSAL CASE 155 7.3.1 THE SPACE C 0 (D M) 156 7.3.2
GENERATION THEOREM FOR FELLER SEMIGROUPS 157 7.3.3 SKETCH OF PROOF OF
THEOREM 7.20 159 8 PROOF OF THEOREM 1.1 169 8.1 REGULARITY THEOREM FOR
PROBLEM (1.1) 170 8.2 UNIQUENESS THEOREM FOR PROBLEM (1.1) 173 8.3
EXISTENCE THEOREM FOR PROBLEM (1.1) 174 8.3.1 PROOF OF THEOREM 8.8 175
8.3.2 PROOF OF PROPOSITION 8.11 183 9 PROOF OF THEOREM 1.2 187 10 A
PRIORI ESTIMATES 191 11 PROOF OF THEOREM 1.3 197 11.1 PROOF OF PART (I)
OF THEOREM 1.3 197 11.2 PROOF OF PART (II) OF THEOREM 1.3 201 12 PROOF
OF THEOREM 1.4, PART (I) . 203 12.1 SOBOLEV S IMBEDDING THEOREMS 203
12.2 PROOF OF PART (I) OF THEOREM 1.4 T 204 CONTENTS XI 13 PROOFS OF
THEOREM 1.5 AND THEOREM 1.4, PART (II) 213 13.1 EXISTENCE THEOREM FOR
FELLER SEMIGROUPS 213 13.2 FELLER SEMIGROUPS WITH REFLECTING BARRIER 226
13.3 PROOF OF THEOREM 1.5 234 13.4 PROOF OF PART (II) OF THEOREM 1.4 243
14 BOUNDARY VALUE PROBLEMS FOR WALDENFELS OPERATORS 245 14.1 FORMULATION
OF A BOUNDARY VALUE PROBLEM 245 14.2 PROOF OF THEOREM 1.6 247 14.3 PROOF
OF THEOREM 1.7 253 14.4 PROOF OF THEOREM 1.8 258 14.5 PROOF OF THEOREM
1.9 262 14.6 CONCLUDING REMARKS 270 A BOUNDEDNESS OF PSEUDO-DIFFERENTIAL
OPERATORS 271 A.I THE LITTLEWOOD-PALEY SERIES 271 A.2 DEFINITION OF
SOBOLEV AND BESOV SPACES 273 A.3 NON-REGULAR SYMBOLS 275 A.4 THE V
BOUNDEDNESS THEOREM 280 A.5 PROOF OF PROPOSITION A.7 281 A.6 PROOF OF
PROPOSITION A.8 287 A.6.1 PROOF OF THE CASE 8 = 1 288 A.6.2 PROOF OF THE
CASE 0 5 1 296 B UNIQUE SOLVABILITY OF PSEUDO-DIFFERENTIAL
OPERATORS 303 C THE MAXIMUM PRINCIPLE 31 1 C.I THE WEAK MAXIMUM
PRINCIPLE 312 C.2 THE STRONG MAXIMUM PRINCIPLE 314 C.3 THE BOUNDARY
POINT LEMMA 319 REFERENCES 325 INDEX OF SYMBOLS 329 INDEX 333
|
| any_adam_object | 1 |
| author | Taira, Kazuaki 1946- |
| author_GND | (DE-588)120483858 |
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| author_variant | k t kt |
| building | Verbundindex |
| bvnumber | BV017491925 |
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| dewey-full | 519.2/33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2/33 |
| dewey-search | 519.2/33 |
| dewey-sort | 3519.2 233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:18:41Z |
| institution | BVB |
| isbn | 3540406514 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010537701 |
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| physical | XI, 337 S. graph. Darst. |
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| spelling | Taira, Kazuaki 1946- Verfasser (DE-588)120483858 aut Semigroups, boundary value problems and Markov processes Kazuaki Taira Berlin [u.a.] Springer 2004 XI, 337 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 325 - 328 Boundary value problems Markov processes Semigroups Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Analytische Halbgruppe (DE-588)4376792-8 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 s Analytische Halbgruppe (DE-588)4376792-8 s Markov-Prozess (DE-588)4134948-9 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010537701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Taira, Kazuaki 1946- Semigroups, boundary value problems and Markov processes Boundary value problems Markov processes Semigroups Markov-Prozess (DE-588)4134948-9 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Analytische Halbgruppe (DE-588)4376792-8 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4193399-0 (DE-588)4376792-8 |
| title | Semigroups, boundary value problems and Markov processes |
| title_auth | Semigroups, boundary value problems and Markov processes |
| title_exact_search | Semigroups, boundary value problems and Markov processes |
| title_full | Semigroups, boundary value problems and Markov processes Kazuaki Taira |
| title_fullStr | Semigroups, boundary value problems and Markov processes Kazuaki Taira |
| title_full_unstemmed | Semigroups, boundary value problems and Markov processes Kazuaki Taira |
| title_short | Semigroups, boundary value problems and Markov processes |
| title_sort | semigroups boundary value problems and markov processes |
| topic | Boundary value problems Markov processes Semigroups Markov-Prozess (DE-588)4134948-9 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Analytische Halbgruppe (DE-588)4376792-8 gnd |
| topic_facet | Boundary value problems Markov processes Semigroups Markov-Prozess Elliptisches Randwertproblem Analytische Halbgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010537701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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