A KAM-Theorem for some Nonlinear Partial Differential Equations

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 23, Issue 1, 1996, Pages 119-148

  Pöschel, Jürgen ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

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EID: 85129605434     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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4. S.B. KUKSIN, Nearly integrable infinite-dimensional Hamiltonian systems, Lecture Notes in Mathemetics 1556, Springer, Berlin, 1993.
5. S.B. KUKSIN - J. PÖSCHEL, Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Ann. of Math. (to appear).
6. P.D. LAX, Developement of singularities of solutions of nonlinear hyperbolic partial differential equation, J. Math. Phys. 5 (1964), 611-613.
7. J. PÖSCHEL, On elliptic lower dimensional tori in Hamiltonian systems, Math. Z. 202 (1989), 559-608.
8. J. PÖSCHEL, Quasi-periodic solutions for a nonlinear wave equation, Comment. Math. Helv. (to appear).
9. H. RÜSSMANN, On an inequality for trigonometric polynomials in several variables, Anllysis, et cetera (PH. Rabinowitz and E. Zehnder, eds.), Academic Press, Boston, pp. 545-562.
10. C.E. WAYNE, Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory, Comm. Math. Phys. 127 (1990), 479-528.