Birkhoff normal form for some quasilinear Hamiltonian PDEs

XIVth International Congress on Mathematical Physics: Lisbon, 28 July - 2 August 2003

Volumn , Issue , 2006, Pages 273-280

  Bambusi, Dario ^a  

^a UNIVERSITY OF MILAN   (Italy)

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EID: 84967425466     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812704016_0024     Document Type: Chapter

References (22)

1. D. Bambusi, Math. Z. 130, 345 (1999).
2. D. Bambusi, "An averaging theorem for quasilinear Hamiltonian PDEs", Annales Henri Poincaré, to appear.
3. D. Bambusi, Comm. Math. Phys. 234, 253 (2003).
4. D. Bambusi, B. Grebert, Forme normale pour NLS en dimension quelconque, CRAS Paris, to appear.
5. D. Bambusi, N. N. Nekhoroshev, Acta Applicandae Mathematicae 70, 1 (2002).
6. J. Bourgain, Ann. Math. 148, 363 (1998).
7. J. Bourgain, J. Anal. Math. 80, 1 (2000).
8. J. Bourgain, "Green Functions Estimates for Latticee Schròdinger Operators and Applications", preprint (2003).
9. W. Craig, "Birkhoff normal form for water waves", Mathematical problems in the theory of water waves, F. Dias, J. M. Ghidaglia, J. C. Saut (eds.), Contemporary Mathematics 200, AMS, 1996.
10. W. Craig, C. Sulem, J. Comp. Phys. 108, 73 (1993).
11. W. Craig, C. E. Wayne, Comm. Pure Appi. Math. 46, 1409 (1993).
12. W. Craig, P. A. Worfolk, Physica D 84, 513 (1995).
13. A. I. Dyachenko, V. E. Zakharov, Phy. Lett. A 190, 144 (1994).
14. T. Kato, Led. Notes Math. 448 (1975).
15. T. Kato, Abstract Differential Equations and nonlinear Mixed Problems. Scuola Normale Superiore, Pisa, 1985.
16. S. Klainerman, A. Majda, Comm. Pure and Appi Math. 33, 241 (1980).
17. T. Kappeler, J. Pöschel, KAM & KdV, Springer, 2003.
18. S. B. Kuksin, Funct. Anal. Appi. 21, 192 (1987).
19. S. B. Kuksin, PMM U.S.S.R. 53, 150 (1989).
20. S. B. Kuksin, Analysis of Hamiltonian PDEs, Oxford University Press, 2000.
21. K. Matthies, A. Scheel, Trans. Amer. Math. Soc. 335, 747 (2002).
22. V. E. Zakharov, Appi. Mech. Tech. Physics 2, 190 (1968).