Boundary value problems and Markov processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1991
|
| Schriftenreihe: | Lecture notes in mathematics
1499 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 132 S. graph. Darst. |
| ISBN: | 354054996X 038754996X |
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 Boundary value problems and Markov processes |c Kazuaki Taira |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1991 | |
| 300 | |a 132 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1499 | |
| 650 | 4 | |a Markov, Processus de | |
| 650 | 4 | |a Problèmes aux limites | |
| 650 | 4 | |a Semi-groupes | |
| 650 | 4 | |a Équations différentielles elliptiques | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Elliptic | |
| 650 | 4 | |a Markov processes | |
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| 650 | 0 | 7 | |a Markov-Prozess |0 (DE-588)4134948-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptischer Differentialoperator |0 (DE-588)4140057-4 |2 gnd |9 rswk-swf |
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| 689 | 1 | 2 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
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Datensatz im Suchindex
| _version_ | 1805082720871645184 |
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| adam_text |
Table of Contents
Introduction and Results 1
Section 1 Semigroup Theory 10
1.1 Analytic Semigroups 10
1.2 Feller Semigroups 17
Section 2 Lp Theory of Pseudo Differential Operators 23
2.1 Function Spaces 23
2.2 Fourier Integral Operators 29
2.3 Pseudo Differential Operators 34
Section 3 Lp Approach to Elliptic Boundary Value Problems 41
3.1 The Dirichlet Problem 41
3.2 Formulation of a Boundary Value Problem 44
3.3 Reduction to the Boundary 45
Section 4 Proof of Theorem 1 50
Section 5 A Priori Estimates 55
Section 6 Proof of Theorem 2 61
Section 7 Proof of Theorem 3 Part (i) 70
7.1 The Space C0(D\M) 70
7.2 Sobolev's Imbedding Theorems 72
7.3 Proof of Part (i) of Theorem 3 73
Section 8 Proof of Theorem 3 Part (ii) 81
8.1 General Existence Theorem for Feller Semigroups 81
8.2 Feller Semigroups with Reflecting Barrier 88
8.3 Proof of Theorem 4 95
8.4 Proof of Part (ii) of Theorem 3 104
Section 9 Application to Semilinear Initial Boundary Value Problems 105
9.1 Local Existence and Uniqueness Theorems 105
9.2 Fractional Powers and Imbedding Theorems 107
9.3 Proof of Theorems 9.1 and 9.2 108
Appendix The Boundary Point Lemma 112
Bibliography 114
List of Symbols 116
Subject Index 126 |
| any_adam_object | 1 |
| author | Taira, Kazuaki 1946- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
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| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-20T07:37:09Z |
| institution | BVB |
| isbn | 354054996X 038754996X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002914922 |
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| physical | 132 S. graph. Darst. |
| publishDate | 1991 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Taira, Kazuaki 1946- Verfasser (DE-588)120483858 aut Boundary value problems and Markov processes Kazuaki Taira Berlin [u.a.] Springer 1991 132 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1499 Markov, Processus de Problèmes aux limites Semi-groupes Équations différentielles elliptiques Boundary value problems Differential equations, Elliptic Markov processes Semilineare parabolische Differentialgleichung (DE-588)4180962-2 gnd rswk-swf Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Elliptischer Differentialoperator (DE-588)4140057-4 gnd rswk-swf Feller-Halbgruppe (DE-588)4285866-5 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Anfangswertproblem (DE-588)4001991-3 gnd rswk-swf Elliptisches Randwertproblem (DE-588)4193399-0 s Markov-Prozess (DE-588)4134948-9 s DE-604 Feller-Halbgruppe (DE-588)4285866-5 s Elliptischer Differentialoperator (DE-588)4140057-4 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Semilineare parabolische Differentialgleichung (DE-588)4180962-2 s Anfangswertproblem (DE-588)4001991-3 s 2\p DE-604 DE-188 Lecture notes in mathematics 1499 (DE-604)BV000676446 1499 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002914922&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Taira, Kazuaki 1946- Boundary value problems and Markov processes Lecture notes in mathematics Markov, Processus de Problèmes aux limites Semi-groupes Équations différentielles elliptiques Boundary value problems Differential equations, Elliptic Markov processes Semilineare parabolische Differentialgleichung (DE-588)4180962-2 gnd Markov-Prozess (DE-588)4134948-9 gnd Randwertproblem (DE-588)4048395-2 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd Feller-Halbgruppe (DE-588)4285866-5 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Anfangswertproblem (DE-588)4001991-3 gnd |
| subject_GND | (DE-588)4180962-2 (DE-588)4134948-9 (DE-588)4048395-2 (DE-588)4140057-4 (DE-588)4285866-5 (DE-588)4193399-0 (DE-588)4001991-3 |
| title | Boundary value problems and Markov processes |
| title_auth | Boundary value problems and Markov processes |
| title_exact_search | Boundary value problems and Markov processes |
| title_full | Boundary value problems and Markov processes Kazuaki Taira |
| title_fullStr | Boundary value problems and Markov processes Kazuaki Taira |
| title_full_unstemmed | Boundary value problems and Markov processes Kazuaki Taira |
| title_short | Boundary value problems and Markov processes |
| title_sort | boundary value problems and markov processes |
| topic | Markov, Processus de Problèmes aux limites Semi-groupes Équations différentielles elliptiques Boundary value problems Differential equations, Elliptic Markov processes Semilineare parabolische Differentialgleichung (DE-588)4180962-2 gnd Markov-Prozess (DE-588)4134948-9 gnd Randwertproblem (DE-588)4048395-2 gnd Elliptischer Differentialoperator (DE-588)4140057-4 gnd Feller-Halbgruppe (DE-588)4285866-5 gnd Elliptisches Randwertproblem (DE-588)4193399-0 gnd Anfangswertproblem (DE-588)4001991-3 gnd |
| topic_facet | Markov, Processus de Problèmes aux limites Semi-groupes Équations différentielles elliptiques Boundary value problems Differential equations, Elliptic Markov processes Semilineare parabolische Differentialgleichung Markov-Prozess Randwertproblem Elliptischer Differentialoperator Feller-Halbgruppe Elliptisches Randwertproblem Anfangswertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002914922&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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