Superdiffusions and positive solutions of nonlinear partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhose Island
American Mathematical Society
2004
|
| Schriftenreihe: | University lecture series
Volume 34 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vi, 120 Seiten |
| ISBN: | 082183682X 9780821836828 |
Internformat
MARC
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| 100 | 1 | |a Dynkin, Evgenij B. |d 1924-2014 |e Verfasser |0 (DE-588)119202085 |4 aut | |
| 245 | 1 | 0 | |a Superdiffusions and positive solutions of nonlinear partial differential equations |c E. B. Dynkin |
| 264 | 1 | |a Providence, Rhose Island |b American Mathematical Society |c 2004 | |
| 264 | 4 | |c © 2004 | |
| 300 | |a vi, 120 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a University lecture series |v Volume 34 | |
| 650 | 7 | |a Equações diferenciais parciais |2 larpcal | |
| 650 | 7 | |a Processos de difusão |2 larpcal | |
| 650 | 4 | |a Processus de diffusion | |
| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Équations différentielles non linéaires | |
| 650 | 4 | |a aDifferential equations, Nonlinear | |
| 650 | 4 | |a aDifferential equations, Partial | |
| 650 | 4 | |a aDiffusion processes | |
| 650 | 0 | 7 | |a Diffusionsprozess |0 (DE-588)4274463-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineare partielle Differentialgleichung |0 (DE-588)4128900-6 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-012937712 | ||
Datensatz im Suchindex
| _version_ | 1804132966198149120 |
|---|---|
| adam_text | Contents
Preface v
Chapter 1. Introduction 1
1. Trace theory 1
2. Organizing the book 3
3. Notation 4
4. Assumptions 4
5. Notes 6
Chapter 2. Analytic approach 9
1. Operators Gd and Kp 10
2. Operator V and equation Lu = ip(u) 11
3. Algebraic approach to the equation Lu = ip{u) 15
4. Choquet capacities 16
5. Notes 17
Chapter 3. Probabilistic approach 19
1. Diffusion 20
2. Superprocesses 24
3. Superdiffusions 28
4. Notes 33
Chapter 4. N measures 35
1. Main result 36
2. Construction of measures Nx 36
3. Applications 40
4. Notes 47
Chapter 5. Moments and absolute continuity properties of
superdiffusions 49
1. Recursive moment formulae 49
2. Diagram description of moments 54
3. Absolute continuity results 56
4. Notes 59
Chapter 6. Poisson capacities 61
1. Capacities associated with a pair (k, m) 61
iii
iv CONTENTS
2. Poisson capacities 62
3. Upper bound for Cap(T) 63
4. Lower bound for Cap,,. 67
5. Notes 69
Chapter 7. Basic inequality 71
1. Main result 71
2. Two propositions 71
3. Relations between superdiffusions and conditional diffusions in
two open sets 72
4. Equations connecting Px and Nx with Iix 74
5. Proof of Theorem 1.1 76
6. Notes 77
Chapter 8. Solutions wr are cr moderate 79
1. Plan of the chapter 79
2. Three lemmas on the conditional Brownian motion 80
3. Proof of Theorem 1.2 82
4. Proof of Theorem 1.3 83
5. Proof of Theorem 1.5 84
6. Proof of Theorems 1.6 and 1.7 85
7. Notes 86
Chapter 9. All solutions are cr moderate 89
1. Plan 89
2. Proof of Localization theorem 90
3. Star domains 93
4. Notes 101
Appendix A. An elementary property of the Brownian motion
J. F. Le Gall 103
Appendix B. Relations between Poisson and Bessel capacities
I. E. Verbitsky 107
Notes 111
References 113
Subject Index 117
Notation Index 119
|
| any_adam_object | 1 |
| author | Dynkin, Evgenij B. 1924-2014 |
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| author_facet | Dynkin, Evgenij B. 1924-2014 |
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515.353 515/.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T20:01:13Z |
| institution | BVB |
| isbn | 082183682X 9780821836828 |
| language | English |
| lccn | 2004055059 |
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| physical | vi, 120 Seiten |
| publishDate | 2004 |
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| publisher | American Mathematical Society |
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| series | University lecture series |
| series2 | University lecture series |
| spelling | Dynkin, Evgenij B. 1924-2014 Verfasser (DE-588)119202085 aut Superdiffusions and positive solutions of nonlinear partial differential equations E. B. Dynkin Providence, Rhose Island American Mathematical Society 2004 © 2004 vi, 120 Seiten txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 34 Equações diferenciais parciais larpcal Processos de difusão larpcal Processus de diffusion Équations aux dérivées partielles Équations différentielles non linéaires aDifferential equations, Nonlinear aDifferential equations, Partial aDiffusion processes Diffusionsprozess (DE-588)4274463-5 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Diffusionsprozess (DE-588)4274463-5 s b DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-2179-3 University lecture series Volume 34 (DE-604)BV004153846 34 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dynkin, Evgenij B. 1924-2014 Superdiffusions and positive solutions of nonlinear partial differential equations University lecture series Equações diferenciais parciais larpcal Processos de difusão larpcal Processus de diffusion Équations aux dérivées partielles Équations différentielles non linéaires aDifferential equations, Nonlinear aDifferential equations, Partial aDiffusion processes Diffusionsprozess (DE-588)4274463-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4274463-5 (DE-588)4128900-6 |
| title | Superdiffusions and positive solutions of nonlinear partial differential equations |
| title_auth | Superdiffusions and positive solutions of nonlinear partial differential equations |
| title_exact_search | Superdiffusions and positive solutions of nonlinear partial differential equations |
| title_full | Superdiffusions and positive solutions of nonlinear partial differential equations E. B. Dynkin |
| title_fullStr | Superdiffusions and positive solutions of nonlinear partial differential equations E. B. Dynkin |
| title_full_unstemmed | Superdiffusions and positive solutions of nonlinear partial differential equations E. B. Dynkin |
| title_short | Superdiffusions and positive solutions of nonlinear partial differential equations |
| title_sort | superdiffusions and positive solutions of nonlinear partial differential equations |
| topic | Equações diferenciais parciais larpcal Processos de difusão larpcal Processus de diffusion Équations aux dérivées partielles Équations différentielles non linéaires aDifferential equations, Nonlinear aDifferential equations, Partial aDiffusion processes Diffusionsprozess (DE-588)4274463-5 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Equações diferenciais parciais Processos de difusão Processus de diffusion Équations aux dérivées partielles Équations différentielles non linéaires aDifferential equations, Nonlinear aDifferential equations, Partial aDiffusion processes Diffusionsprozess Nichtlineare partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012937712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004153846 |
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