The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2008
|
| Series: | Memoirs of the American Mathematical Society
917 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 196, number 917 (fourth of 5 numbers)." Includes bibliographical references |
| Physical Description: | VI, 105 S. graph. Darst. |
| ISBN: | 9780821842508 |
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| 245 | 1 | 0 | |a The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |c Salah-Eldin Mohammed ; Tusheng Zhang ; Huaizhong Zhao |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2008 | |
| 300 | |a VI, 105 S. |b graph. Darst. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 917 | |
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| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Stochastic partial differential equations | |
| 650 | 4 | |a Stochastic integral equations | |
| 650 | 4 | |a Manifolds (Mathematics) | |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
Part 1. The stochastic semiflow
§1.1 Basic concepts 6
§1.2 Flows and cocycles of semilinear see s 7
(a) Linear see s 8
(b) Semilinear see s 27
§1.3 Semilinear spde s: Lipschitz nonlinearity 35
§1.4 Semilinear spde s: Non-Lipschitz nonlinearity 44
(a) Stochastic reaction diffusion equations 44
(b) Burgers equation with additive noise 58
Part 2. Existence of stable and unstable manifolds
§2.1 Hyperbolicity of a stationary trajectory 69
§2.2 The nonlinear ergodic theorem 73
§2.3 Proof of the local stable manifold theorem 77
§2.4 The local stable manifold theorem for see s and spde s 95
(a) See s: Additive noise 95
(b) Semilinear see s: Linear noise 98
(c) Semilinear parabolic spde s: Lipschitz nonlinearity 100
(d) Stochastic reaction diffusion equations: Dissipative nonlinearity 100
(e) Stochastic Burgers equation: Additive noise 101
Acknowledgments 102
Bibliography 103
v
|
| adam_txt |
Contents
Introduction 1
Part 1. The stochastic semiflow
§1.1 Basic concepts 6
§1.2 Flows and cocycles of semilinear see's 7
(a) Linear see's 8
(b) Semilinear see's 27
§1.3 Semilinear spde's: Lipschitz nonlinearity 35
§1.4 Semilinear spde's: Non-Lipschitz nonlinearity 44
(a) Stochastic reaction diffusion equations 44
(b) Burgers equation with additive noise 58
Part 2. Existence of stable and unstable manifolds
§2.1 Hyperbolicity of a stationary trajectory 69
§2.2 The nonlinear ergodic theorem 73
§2.3 Proof of the local stable manifold theorem 77
§2.4 The local stable manifold theorem for see's and spde's 95
(a) See's: Additive noise 95
(b) Semilinear see's: Linear noise 98
(c) Semilinear parabolic spde's: Lipschitz nonlinearity 100
(d) Stochastic reaction diffusion equations: Dissipative nonlinearity 100
(e) Stochastic Burgers equation: Additive noise 101
Acknowledgments 102
Bibliography 103
v |
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| id | DE-604.BV035041796 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:53:22Z |
| indexdate | 2024-07-09T21:20:51Z |
| institution | BVB |
| isbn | 9780821842508 |
| language | English |
| lccn | 2008030290 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016710618 |
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| physical | VI, 105 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Mohammed, Salah-Eldin A. Verfasser (DE-588)120795841 aut The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations Salah-Eldin Mohammed ; Tusheng Zhang ; Huaizhong Zhao Providence, R.I. American Mathematical Society 2008 VI, 105 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 917 "Volume 196, number 917 (fourth of 5 numbers)." Includes bibliographical references Stochastic partial differential equations Stochastic integral equations Manifolds (Mathematics) Evolution equations Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 s Mannigfaltigkeit (DE-588)4037379-4 s DE-604 Zhang, Tusheng 1963- Sonstige (DE-588)137051581 oth Zhao, Huaizhong 1964- Sonstige (DE-588)136718124 oth Memoirs of the American Mathematical Society 917 (DE-604)BV008000141 917 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016710618&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mohammed, Salah-Eldin A. The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations Memoirs of the American Mathematical Society Stochastic partial differential equations Stochastic integral equations Manifolds (Mathematics) Evolution equations Stochastische Differentialgleichung (DE-588)4057621-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4057621-8 (DE-588)4037379-4 |
| title | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |
| title_auth | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |
| title_exact_search | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |
| title_exact_search_txtP | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |
| title_full | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations Salah-Eldin Mohammed ; Tusheng Zhang ; Huaizhong Zhao |
| title_fullStr | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations Salah-Eldin Mohammed ; Tusheng Zhang ; Huaizhong Zhao |
| title_full_unstemmed | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations Salah-Eldin Mohammed ; Tusheng Zhang ; Huaizhong Zhao |
| title_short | The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |
| title_sort | the stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations |
| topic | Stochastic partial differential equations Stochastic integral equations Manifolds (Mathematics) Evolution equations Stochastische Differentialgleichung (DE-588)4057621-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Stochastic partial differential equations Stochastic integral equations Manifolds (Mathematics) Evolution equations Stochastische Differentialgleichung Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016710618&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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