Coverart for item
The Resource KdV & KAM, Thomas Kappeler, Jürgen Pöschel

KdV & KAM, Thomas Kappeler, Jürgen Pöschel

Label
KdV & KAM
Title
KdV & KAM
Statement of responsibility
Thomas Kappeler, Jürgen Pöschel
Title variation
KdV and KAM
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Kappeler, Thomas
Dewey number
519.3
Index
index present
LC call number
QA377
LC item number
.K363 2003
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Pöschel, Jürgen
Series statement
Ergebnisse der Mathematik und ihrer Grenzgebiete,
Series volume
3. Folge, v. 45
http://library.link/vocab/subjectName
  • Korteweg-de Vries equation
  • Hamiltonian systems
  • Boundary value problems
  • Perturbation (Mathematics)
Label
KdV & KAM, Thomas Kappeler, Jürgen Pöschel
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
I. The beginning -- 1. Overview -- II. Classical background -- 2. Hamiltonian formalism -- 3. Liouville integrable systems -- 4. Birkhoff integrable systems -- 5. KAM theory -- III. Birkhoff coordinates -- 6. Background and results -- 7. Actions -- 8. Angles -- 9. Cartesian coordinates -- 10. Orthogonality relations -- 11. The diffeomorphism property -- 12. The symplectomorphism property -- IV. Perturbed KdV equations -- 13. The main theorems -- 14. Birkhoff normal form -- 15. Global coordinates and frequencies -- 16. The KAM theorem -- 17. Proof of the main theorems -- V. The KAM proof -- 18. Set up and summary of main results -- 19. The linearized equation -- 20. The KAM step -- 21. Iteration and convergence -- 22. The excluded set of parameters -- VI. Kuksin's lemma -- 23. Kukxin's lemma -- VII. Background material -- A. Analyticity -- B. Spectra -- C. KdV hierarchy -- VIII. Psi-functions and frequencies -- D. Construction of the Psi-functions -- E. A trace formula -- F. Frequencies -- IX. Birkhoff normal forms -- G. Two results on Birkhoff normal forms -- H. Birkhoff normal form of Order 6 -- I. Kramer's lemma -- J. Nondegeneracy of the second KdV Hamiltonian -- X. Some technicalities -- K. Symplectic formalism -- L. Infinite products -- M. Auxiliary results
Control code
52182669
Dimensions
25 cm
Extent
xii, 279 pages
Isbn
9783540022343
Isbn Type
(acid-free paper)
Lccn
2003052621
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
KdV & KAM, Thomas Kappeler, Jürgen Pöschel
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
I. The beginning -- 1. Overview -- II. Classical background -- 2. Hamiltonian formalism -- 3. Liouville integrable systems -- 4. Birkhoff integrable systems -- 5. KAM theory -- III. Birkhoff coordinates -- 6. Background and results -- 7. Actions -- 8. Angles -- 9. Cartesian coordinates -- 10. Orthogonality relations -- 11. The diffeomorphism property -- 12. The symplectomorphism property -- IV. Perturbed KdV equations -- 13. The main theorems -- 14. Birkhoff normal form -- 15. Global coordinates and frequencies -- 16. The KAM theorem -- 17. Proof of the main theorems -- V. The KAM proof -- 18. Set up and summary of main results -- 19. The linearized equation -- 20. The KAM step -- 21. Iteration and convergence -- 22. The excluded set of parameters -- VI. Kuksin's lemma -- 23. Kukxin's lemma -- VII. Background material -- A. Analyticity -- B. Spectra -- C. KdV hierarchy -- VIII. Psi-functions and frequencies -- D. Construction of the Psi-functions -- E. A trace formula -- F. Frequencies -- IX. Birkhoff normal forms -- G. Two results on Birkhoff normal forms -- H. Birkhoff normal form of Order 6 -- I. Kramer's lemma -- J. Nondegeneracy of the second KdV Hamiltonian -- X. Some technicalities -- K. Symplectic formalism -- L. Infinite products -- M. Auxiliary results
Control code
52182669
Dimensions
25 cm
Extent
xii, 279 pages
Isbn
9783540022343
Isbn Type
(acid-free paper)
Lccn
2003052621
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

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