Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2001
|
| Schriftenreihe: | Lecture notes in mathematics
1756 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 146 S. |
| ISBN: | 3540418334 |
Internformat
MARC
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| 100 | 1 | |a Židkov, Petr E. |d 1956- |e Verfasser |0 (DE-588)122769163 |4 aut | |
| 245 | 1 | 0 | |a Korteweg-de Vries and nonlinear Schrödinger equations |b qualitative theory |c Peter E. Zhidkov |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2001 | |
| 300 | |a 146 S. | ||
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| 650 | 0 | 7 | |a Korteweg-de-Vries-Gleichung |0 (DE-588)4287203-0 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804128463859220480 |
|---|---|
| adam_text | Contents
Page
Introduction 1
Notation 5
Chapter 1. Evolutionary equations. Results on existence 9
1.1 The (generalized) Korteweg-de Vries equation (KdVE) 10
1.2 The nonlinear Schrodinger equation (NLSE) 26
1.3 On the blowing up of solutions 36
1.4 Additional remarks. 37
Chapter 2. Stationary problems 39
2.1 Existence of solutions. An ODE approach 42
2.2 Existence of solutions. A variational method 49
2.3 The concentration-compactness method of P.L. Lions 56
2.4 On basis properties of systems of solutions 62
2.5 Additional remarks 76
Chapter 3. Stability of solutions 79
3.1 Stability of soliton-like solutions 80
3.2 Stability of kinks for the KdVE 90
3.3 Stability of solutions of the NLSE nonvanishing as x —? oo 94
3.4 Additional remarks 103
Chapter 4. Invariant measures 105
4.1 On Gaussian measures in Hilbert spaces 107
4.2 An invariant measure for the NLSE 118
4.3 An infinite series of invariant measures for the KdVE 124
4.4 Additional remarks 135
Bibliography 137
Index 147
|
| any_adam_object | 1 |
| author | Židkov, Petr E. 1956- |
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| classification_rvk | SI 850 |
| classification_tum | MAT 350f MAT 356f |
| ctrlnum | (OCoLC)248374121 (DE-599)BVBBV013653017 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013653017 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:49:39Z |
| institution | BVB |
| isbn | 3540418334 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009328618 |
| oclc_num | 248374121 |
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| physical | 146 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Židkov, Petr E. 1956- Verfasser (DE-588)122769163 aut Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory Peter E. Zhidkov Berlin [u.a.] Springer 2001 146 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1756 Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 gnd rswk-swf Qualitative Theorie (DE-588)4571165-3 gnd rswk-swf Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd rswk-swf Korteweg-de-Vries-Gleichung (DE-588)4287203-0 s Qualitative Theorie (DE-588)4571165-3 s DE-604 Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 s Lecture notes in mathematics 1756 (DE-604)BV000676446 1756 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009328618&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Židkov, Petr E. 1956- Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory Lecture notes in mathematics Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 gnd Qualitative Theorie (DE-588)4571165-3 gnd Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd |
| subject_GND | (DE-588)4278277-6 (DE-588)4571165-3 (DE-588)4287203-0 |
| title | Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory |
| title_auth | Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory |
| title_exact_search | Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory |
| title_full | Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory Peter E. Zhidkov |
| title_fullStr | Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory Peter E. Zhidkov |
| title_full_unstemmed | Korteweg-de Vries and nonlinear Schrödinger equations qualitative theory Peter E. Zhidkov |
| title_short | Korteweg-de Vries and nonlinear Schrödinger equations |
| title_sort | korteweg de vries and nonlinear schrodinger equations qualitative theory |
| title_sub | qualitative theory |
| topic | Nichtlineare Schrödinger-Gleichung (DE-588)4278277-6 gnd Qualitative Theorie (DE-588)4571165-3 gnd Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd |
| topic_facet | Nichtlineare Schrödinger-Gleichung Qualitative Theorie Korteweg-de-Vries-Gleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009328618&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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