Regularity theory and stochastic flows for parabolic SPDEs:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
[Camberwell] u.a.
Gordon and Breach
1995
|
| Series: | Stochastics monographs
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 79 S. |
| ISBN: | 2884490450 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | REGULARITY THEORY AND STOCHASTIC FLOWS FOR PARABOLIC SPDES BY FRANCO
FLANDOLI SCUOLA NORMALE SUPERIORE PISA, ITALY GORDON AND BREACH
PUBLISHERS AUSTRALIA * AUSTRIA * BELGIUM * CHINA * FRANCE * GERMANY *
INDIA JAPAN * LUXEMBOURG * MALAYSIA * NETHERLANDS * RUSSIA * SINGAPORE
SWITZERLAND * THAILAND * UNITED KINGDOM * UNITED STATES CONTENTS
INTRODUCTION TO THE SERIES VII PREFACE IX 1 INTRODUCTION 1 2 STOCHASTIC
FLOWS: PRELIMINARY COMMENTS 2 2.1 REGULAR VERSIONS OF RANDOM FIELDS 3
2.2 COMMENTS ON THE LITERATURE 5 3 PRELIMINARIES ON WELL-POSEDNESS AND
FUNCTION SPACES 8 3.1 NOTATIONS 8 3.2 BASIC ABSTRACT WELL-POSEDNESS
THEOREM 9 3.3 BASIC PARTICULAR CASE 12 3.4 AN EXTENSION ;* 15 3.5
HILBERT SCALES AND INTERPOLATION OF RANDOM FIELD SPACES 17 4 REGULARITY
IN BOUNDED DOMAINS: SOME COUNTEREXAMPLES 18 5 REGULARITY THEORY FOR
HOMOGENEOUS PROBLEMS 24 5.1 ABSTRACT REGULARITY THEORY 24 5.2
APPLICATION TO EQUATIONS IN R RF 29 5.3 APPLICATION TO SECOND ORDER
EQUATIONS IN BOUNDED DOMAINS: DIRICHLET BOUNDARY CONDITION 31 5.3.1 L 2
(DJ-SOLUTIONS 32 5.3.2 // (^-SOLUTIONS 33 5.3.3 W 2 (D)-SOLUTIONS 38 VI
CONTENTS 5.3.4 // (D)-SOLUTIONS, N 3 38 5.3.5 // (DJ-SOLUTIONS 39 5.3.6
//- (D)-SOLUTIONS, N 2 39 5.3.7 SUMMARY OF REGULARITY RESULTS FOR
DIRICHLET BOUNDARY VALUE PROBLEM. // A (D)-SOLUTIONS, A E R 41 5.3.8
REGULARITY FOR THE ADJOINT EQUATION 41 5.4 APPLICATION TO EQUATIONS OF
ORDER 2M IN BOUNDED DOMAINS: DIRICHLET BOUNDARY CONDITIONS 42 5.5
APPLICATION TO SECOND ORDER EQUATIONS IN BOUNDED DOMAINS: NEUMANN
BOUNDARY CONDITION 43 5.5.1 REGULARITY RESULTS FOR THE NEUMANN BOUNDARY
VALUE PROBLEM 44 5.5.2 REGULARITY FOR THE ADJOINT EQUATION 47 6
NON-HOMOGENEOUS BOUNDARY VALUE PROBLEMS 48 6.1 GENERAL FRAMEWORK,
STANDING ASSUMPTIONS, AND APPLICATIONS 48 6.2 PRELIMINARIES ON
DETERMINISTIC BOUNDARY VALUE PROBLEMS 51 6.3 ORIENTATION 53 6.4
ELEMENTARY REGULARITY 53 6.5 MORE REFINED ABSTRACT REGULARITY RESULTS 54
7 EXISTENCE AND REGULARITY OF STOCHASTIC FLOWS 57 7.1 FIRST ABSTRACT
THEOREMS OF EXISTENCE AND REGULARITY 57 7.2 A PATHWISE GREEN FORMULA 59
7.3 TRANSPOSITIONS OF THE ADJOINT FLOW 62 7.4 APPLICATIONS 66 7.4.1
DIRICHLET BOUNDARY VALUE PROBLEM 66 7.4.2 EQUATIONS OF ORDER 2M WITH
DIRICHLET BOUNDARY CONDITIONS 67 7.4.3 NEUMANN BOUNDARY CONDITION 67 8
AN ALTERNATIVE APPROACH 68 ACKNOWLEDGEMENTS 76 REFERENCES 76 INDEX 79
|
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| id | DE-604.BV010537363 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:54:42Z |
| institution | BVB |
| isbn | 2884490450 |
| language | English |
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| physical | IX, 79 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Gordon and Breach |
| record_format | marc |
| series | Stochastics monographs |
| series2 | Stochastics monographs |
| spelling | Flandoli, Franco Verfasser (DE-588)135622360 aut Regularity theory and stochastic flows for parabolic SPDEs by Franco Flandoli [Camberwell] u.a. Gordon and Breach 1995 IX, 79 S. txt rdacontent n rdamedia nc rdacarrier Stochastics monographs 9 Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd rswk-swf Regularität (DE-588)4049074-9 gnd rswk-swf Stochastische partielle Differentialgleichung (DE-588)4135969-0 s Regularität (DE-588)4049074-9 s DE-604 Stochastics monographs 9 (DE-604)BV000019799 9 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007024357&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flandoli, Franco Regularity theory and stochastic flows for parabolic SPDEs Stochastics monographs Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd Regularität (DE-588)4049074-9 gnd |
| subject_GND | (DE-588)4135969-0 (DE-588)4049074-9 |
| title | Regularity theory and stochastic flows for parabolic SPDEs |
| title_auth | Regularity theory and stochastic flows for parabolic SPDEs |
| title_exact_search | Regularity theory and stochastic flows for parabolic SPDEs |
| title_full | Regularity theory and stochastic flows for parabolic SPDEs by Franco Flandoli |
| title_fullStr | Regularity theory and stochastic flows for parabolic SPDEs by Franco Flandoli |
| title_full_unstemmed | Regularity theory and stochastic flows for parabolic SPDEs by Franco Flandoli |
| title_short | Regularity theory and stochastic flows for parabolic SPDEs |
| title_sort | regularity theory and stochastic flows for parabolic spdes |
| topic | Stochastische partielle Differentialgleichung (DE-588)4135969-0 gnd Regularität (DE-588)4049074-9 gnd |
| topic_facet | Stochastische partielle Differentialgleichung Regularität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007024357&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000019799 |
| work_keys_str_mv | AT flandolifranco regularitytheoryandstochasticflowsforparabolicspdes |