Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrodinger equation

@article{Kuksin1996InvariantCM,
  title={Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrodinger equation},
  author={Sergej B. Kuksin and J. P{\"o}schel},
  journal={Annals of Mathematics},
  year={1996},
  volume={143},
  pages={149-179}
}
*This paper was written while both authors were guests of the Forschungsinstitut fur Mathematik at the ETH Zurich, and we thank the institute for its hospitality, pleasant working atmosphere and helpful staff. In particular, we thank Jiirgen Moser for numerous stimulating discussions on the subject. We also benefitted from a remark by Sigurd Angenent concerning the analyticity of the solutions. The second author also thanks the Deutsche Forschungsgemeinschaft for their financial support through… Expand
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References

SHOWING 1-10 OF 17 REFERENCES
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
  • 367
  • Highly Influential
Non-linear wave and Schrödinger equations
  • 78
Newton's method and periodic solutions of nonlinear wave equations
  • 388
  • Highly Influential
Nonpersistence of breather families for the perturbed sine Gordon equation
  • 62
The nonlinear Klein-Gordon equation on an interval as a perturbed Sine-Gordon equation
  • 50
  • PDF
Lectures on Celestial Mechanics
  • 875
Nearly Integrable Infinite-Dimensional Hamiltonian Systems
  • 343
A KAM-theorem for some nonlinear partial differential equations
  • 234
  • PDF
Geometric Measure Theory
  • 5,016
  • Highly Influential
...
1
2
...