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- catalog alternative "KdV and KAM".
- catalog contributor b12913381.
- catalog contributor b12913382.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. [267]-273) and index.".
- catalog extent "xii, 279 p. :".
- catalog identifier "3540022341 (acid-free paper)".
- catalog isPartOf "Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 45.".
- catalog isPartOf "Ergebnisse der Mathematik und ihrer Grenzgebiete, 0071-1136 ; 3. Folge, v. 45".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "519.3 21".
- catalog subject "Boundary value problems.".
- catalog subject "Hamiltonian systems".
- catalog subject "Korteweg-de Vries equation.".
- catalog subject "Perturbation (Mathematics)".
- catalog subject "QA377 .K363 2003".
- catalog tableOfContents "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.".
- catalog title "KdV & KAM / Thomas Kappeler, Jürgen Pöschel.".
- catalog title "KdV and KAM".
- catalog type "text".