Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s00220-011-1264-3.pdf
Reference30 articles.
1. Bambusi D.: Birkhoff normal form for some nonlinear PDEs. Commun. Math. Phys. 234(2), 253–285 (2003)
2. Bambusi D., Berti M.: A Birkhoff-Lewis type theorem for some Hamiltonian PDE’s. SIAM J. Math. Anal. 37(1), 83–102 (2005)
3. Bambusi D., Berti M., Magistrelli E.: Degenerate KAM theory for partial differential equations. J. Diff. Eqs. 250(8), 3379–3397 (2011)
4. Bambusi D., Grébert B.: Birkhoff normal form for partial differential equations with tame modulus. Duke Math. J. 135(3), 507–567 (2005)
5. Berti M., Bolle P.: Cantor families of periodic solutions for completely resonant nonlinear wave equations. Duke Math. J. 134(2), 359–419 (2006)
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