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arxiv: 0904.4745 · v1 · pith:X425OUC6new · submitted 2009-04-30 · 🧮 math.AP

Precise smoothing effect in the exterior of balls

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keywords effectequationexteriorschrodingersmoothingarticleballsconvex
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We are interested in this article in investigating the smoothing effect properties of the solutions of the Schrodinger equation. We deduce global well-posedness results for the cubic Schrodinger equation in the exterior of several convex obstacles of R^{3}.

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