- 96-295 Wayne C.E., Pillet C.-A.
- Invariant manifolds for a class of dispersive,
Hamiltonian, partial differential equations
(145K, postscript)
Jun 17, 96
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Abstract. We construct an invariant manifold of periodic orbits for a class of
non-linear Schr\"odinger equations. Using standard ideas of the theory of
center manifolds, we rederive the results of Soffer and Weinstein on the
large time asymptotics of small solutions (scattering theory).
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