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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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1193-1346
Launched on MUSE
2016-09-27
Open Access
No
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