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arXiv · 1208.4904

Quintic NLS in the exterior of a strictly convex obstacle

Rowan Killip·Monica Visan·Xiaoyi Zhang
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Abstract

We consider the defocusing energy-critical nonlinear Schr\"odinger equation in the exterior of a smooth compact strictly convex obstacle in three dimensions. For the initial-value problem with Dirichlet boundary condition we prove global well-posedness and scattering for all initial data in the energy space.

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Rowan Killip, Monica Visan, Xiaoyi Zhang. 2012-08-24. Quintic NLS in the exterior of a strictly convex obstacle. https://arxiv.org/abs/1208.4904

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