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Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations

✍ Scribed by Claude-Alain Pillet; C.Eugene Wayne

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
255 KB
Volume
141
Category
Article
ISSN
0022-0396

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✦ Synopsis

We construct an invariant manifold of periodic orbits for a class of non-linear Schro dinger equations. Using standard ideas of the theory of center manifolds, we rederive the results of Soffer and Weinstein (Comm. Math. Phys. 133, 119 146 (1997); J. Differential Equations 98, 376 390 (1992)) on the large time asymptotics of small solutions (scattering theory).

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