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Quintic NLS in the exterior of a strictly convex obstacle
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 138, Number 5, October 2016
- pp. 1193-1346
- 10.1353/ajm.2016.0039
- Article
- Additional Information
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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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