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KdV & KAM:

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Bibliographic Details
Main Authors:	Kappeler, Thomas 1953-2022 (Author), Pöschel, Jürgen (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2003
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete 45
Subjects:	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
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references and index
Physical Description:	XII, 279 Seiten
ISBN:	3540022341

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MARC


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264		1	\|a Berlin [u.a.] \|b Springer \|c 2003
300			\|a XII, 279 Seiten
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Record in the Search Index

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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
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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
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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	2024-07-09T19:13:16Z
institution	BVB
isbn	3540022341
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010292354
oclc_num	249334751
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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
spelling	Kappeler, Thomas 1953-2022 Verfasser (DE-588)141539151 aut KdV & KAM Thomas Kappeler, Jürgen Pöschel KdV and KAM Berlin [u.a.] Springer 2003 XII, 279 Seiten txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete : Folge 3 45 Includes bibliographical references and index 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 rswk-swf Normalform (DE-588)4172025-8 gnd rswk-swf Korteweg-de-Vries-Gleichung (DE-588)4287203-0 gnd rswk-swf KAM-Theorie (DE-588)4329269-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Korteweg-de-Vries-Gleichung (DE-588)4287203-0 s Integrables System (DE-588)4114032-1 s Normalform (DE-588)4172025-8 s KAM-Theorie (DE-588)4329269-0 s Pöschel, Jürgen Verfasser (DE-588)1063049199 aut Ergebnisse der Mathematik und ihrer Grenzgebiete 45 (DE-604)BV000899194 45 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis
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

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