KdV & KAM:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete
45 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010292354&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | XII, 279 Seiten |
| ISBN: | 3540022341 |
Internformat
MARC
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| 100 | 1 | |a Kappeler, Thomas |d 1953-2022 |e Verfasser |0 (DE-588)141539151 |4 aut | |
| 245 | 1 | 0 | |a KdV & KAM |c Thomas Kappeler, Jürgen Pöschel |
| 246 | 1 | 3 | |a KdV and KAM |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a XII, 279 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete : Folge 3 |v 45 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Korteweg-de-Vries-Gleichung - Integrables System - Normalform - KAM-Theorie | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Hamiltonian systems | |
| 650 | 4 | |a Korteweg-de Vries equation | |
| 650 | 4 | |a Perturbation (Mathematics) | |
| 650 | 0 | 7 | |a Integrables System |0 (DE-588)4114032-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Normalform |0 (DE-588)4172025-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Korteweg-de-Vries-Gleichung |0 (DE-588)4287203-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a KAM-Theorie |0 (DE-588)4329269-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
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| 689 | 1 | 2 | |a Normalform |0 (DE-588)4172025-8 |D s |
| 689 | 1 | 3 | |a KAM-Theorie |0 (DE-588)4329269-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Pöschel, Jürgen |e Verfasser |0 (DE-588)1063049199 |4 aut | |
| 830 | 0 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete |v 45 |w (DE-604)BV000899194 |9 45 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010292354 | |
Datensatz im Suchindex
| _version_ | 1819282066422890496 |
|---|---|
| adam_text | Contents
Chapter I The Beginning
1 Overview 1
Chapter II Classical Background
2 Hamiltonian Formalism 19
3 Liouville Integrable Systems 27
4 Birkhoff Integrable Systems 34
5 KAM Theory 39
Chapter III Birkhoff Coordinates
6 Background and Results 51
7 Actions 63
8 Angles 69
9 Cartesian Coordinates 74
10 Orthogonality Relations 85
11 The Diffeomorphism Property 91
12 The Symplectomorphism Property 102
Chapter IV Perturbed KdV Equations
13 The Main Theorems 111
14 Birkhoff Normal Form 118
15 Global Coordinates and Frequencies 127
16 The KAM Theorem 133
17 Proof of the Main Theorems 139
XII Contents
Chapter V The KAM Proof
18 Set Up and Summary of Main Results 145
19 The Linearized Equation 152
20 The KAM Step 160
21 Iteration and Convergence 165
22 The Excluded Set of Parameters 171
Chapter VI Kuksin s Lemma
23 Kuksin s Lemma 177
Chapter VII Background Material
A Analyticity 187
B Spectra 194
C KdV Hierarchy 207
Chapter VIII Psi Functions and Frequencies
D Construction of the Psi Functions 211
E A Trace Formula 223
F Frequencies 227
Chapter IX Birkhoff Normal Forms
G Two Results on Birkhoff Normal Forms 233
H Birkhoff Normal Form of Order 6 240
I Kramer s Lemma 248
J Nondegeneracy of the Second KdV Hamiltonian 252
Chapter X Some Technicalities
K Symplectic Formalism 257
L Infinite Products 260
M Auxiliary Results 262
References 267
Index 275
Notations
|
| any_adam_object | 1 |
| author | Kappeler, Thomas 1953-2022 Pöschel, Jürgen |
| author_GND | (DE-588)141539151 (DE-588)1063049199 |
| author_facet | Kappeler, Thomas 1953-2022 Pöschel, Jürgen |
| author_role | aut aut |
| author_sort | Kappeler, Thomas 1953-2022 |
| author_variant | t k tk j p jp |
| building | Verbundindex |
| bvnumber | BV017052267 |
| callnumber-first | Q - Science |
| callnumber-label | QA377 |
| callnumber-raw | QA377 |
| callnumber-search | QA377 |
| callnumber-sort | QA 3377 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)249334751 (DE-599)BVBBV017052267 |
| dewey-full | 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 |
| dewey-search | 519.3 |
| dewey-sort | 3519.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017052267 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:14:22Z |
| institution | BVB |
| isbn | 3540022341 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010292354 |
| oclc_num | 249334751 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-355 DE-BY-UBR DE-83 DE-188 DE-11 |
| owner_facet | DE-20 DE-29T DE-355 DE-BY-UBR DE-83 DE-188 DE-11 |
| physical | XII, 279 Seiten |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete : Folge 3 |
| spellingShingle | Kappeler, Thomas 1953-2022 Pöschel, Jürgen KdV & KAM Ergebnisse der Mathematik und ihrer Grenzgebiete Korteweg-de-Vries-Gleichung - Integrables System - Normalform - KAM-Theorie Boundary value problems Hamiltonian systems Korteweg-de Vries equation Perturbation (Mathematics) Integrables System (DE-588)4114032-1 gnd Normalform (DE-588)4172025-8 gnd Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd KAM-Theorie (DE-588)4329269-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4114032-1 (DE-588)4172025-8 (DE-588)4287203-0 (DE-588)4329269-0 (DE-588)4044779-0 |
| title | KdV & KAM |
| title_alt | KdV and KAM |
| title_auth | KdV & KAM |
| title_exact_search | KdV & KAM |
| title_full | KdV & KAM Thomas Kappeler, Jürgen Pöschel |
| title_fullStr | KdV & KAM Thomas Kappeler, Jürgen Pöschel |
| title_full_unstemmed | KdV & KAM Thomas Kappeler, Jürgen Pöschel |
| title_short | KdV & KAM |
| title_sort | kdv kam |
| topic | Korteweg-de-Vries-Gleichung - Integrables System - Normalform - KAM-Theorie Boundary value problems Hamiltonian systems Korteweg-de Vries equation Perturbation (Mathematics) Integrables System (DE-588)4114032-1 gnd Normalform (DE-588)4172025-8 gnd Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd KAM-Theorie (DE-588)4329269-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Korteweg-de-Vries-Gleichung - Integrables System - Normalform - KAM-Theorie Boundary value problems Hamiltonian systems Korteweg-de Vries equation Perturbation (Mathematics) Integrables System Normalform Korteweg-de-Vries-Gleichung KAM-Theorie Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010292354&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000899194 |
| work_keys_str_mv | AT kappelerthomas kdvkam AT poscheljurgen kdvkam AT kappelerthomas kdvandkam AT poscheljurgen kdvandkam |