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arxiv: math/0405435 · v2 · submitted 2004-05-23 · 🧮 math.AP · math-ph· math.MP

Stable manifolds for an orbitally unstable NLS

classification 🧮 math.AP math-phmath.MP
keywords aroundasymptoticconstructcubicdimensionsexistfocusingglobal
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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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