Stable manifolds for an orbitally unstable NLS

Mathematics – Analysis of PDEs

Scientific paper

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This is a revised version of a paper that was originally posted in May. In this new version, the spectral assumptions have bee

Scientific paper

We construct a local Lipschitz graph around a soliton of the cubic focusing
NLS in three dimensions on which global solutions exist, and asymptotic
stability as well as scattering holds.

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