Comptes Rendus
no. 7-8
Partial differential equations
KAM for quasi-linear KdV
[KAM pour KdV quasi-linéaire]

Présenté par : Gérard Iooss

Pietro Baldi1 ; Massimiliano Berti2 ; Riccardo Montalto2
1 Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università di Napoli Federico II, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy
2 SISSA, Via Bonomea 265, 34136 Trieste, Italy
Comptes Rendus. Mathématique, Volume 352 (2014) no. 7-8, pp. 603-607.

Nous prouvons l'existence de solutions quasi périodiques linéairement stables pour des perturbations hamiltoniennes autonomes quasi linéaires de l'équation KdV.

We prove the existence and stability of Cantor families of quasi-periodic, small-amplitude solutions of quasi-linear autonomous Hamiltonian perturbations of KdV.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.04.012
Pietro Baldi 1 ; Massimiliano Berti 2 ; Riccardo Montalto 2

1 Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università di Napoli Federico II, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy
2 SISSA, Via Bonomea 265, 34136 Trieste, Italy 
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     title = {KAM for quasi-linear {KdV}},
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Pietro Baldi; Massimiliano Berti; Riccardo Montalto. KAM for quasi-linear KdV. Comptes Rendus. Mathématique, Volume 352 (2014) no. 7-8, pp. 603-607. doi : 10.1016/j.crma.2014.04.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.04.012/

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[3] P. Baldi; M. Berti; R. Montalto KAM for autonomous quasi-linear perturbations of KdV, 2014 (preprint) | arXiv

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[7] S. Kuksin A KAM theorem for equations of the Korteweg–de Vries type, Rev. Math. Math. Phys., Volume 10 (1998) no. 3, pp. 1-64

[8] S. Kuksin Analysis of Hamiltonian PDEs, Oxford Lecture Series in Mathematics and Applications, vol. 19, Oxford University Press, 2000

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