Quintic NLS in the exterior of a strictly convex obstacle
Killip R, Vişan M, Zhang X. 2016. Quintic NLS in the exterior of a strictly convex obstacle. American Journal of Mathematics. 138(5), 1193–1346.
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Author
Killip, Rowan;
Vişan, MonicaISTA;
Zhang, Xiaoyi
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.
Publishing Year
Date Published
2016-10-01
Journal Title
American Journal of Mathematics
Publisher
Johns Hopkins University Press
Volume
138
Issue
5
Page
1193-1346
eISSN
IST-REx-ID
Cite this
Killip R, Vişan M, Zhang X. Quintic NLS in the exterior of a strictly convex obstacle. American Journal of Mathematics. 2016;138(5):1193-1346. doi:10.1353/ajm.2016.0039
Killip, R., Vişan, M., & Zhang, X. (2016). Quintic NLS in the exterior of a strictly convex obstacle. American Journal of Mathematics. Johns Hopkins University Press. https://doi.org/10.1353/ajm.2016.0039
Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Quintic NLS in the Exterior of a Strictly Convex Obstacle.” American Journal of Mathematics. Johns Hopkins University Press, 2016. https://doi.org/10.1353/ajm.2016.0039.
R. Killip, M. Vişan, and X. Zhang, “Quintic NLS in the exterior of a strictly convex obstacle,” American Journal of Mathematics, vol. 138, no. 5. Johns Hopkins University Press, pp. 1193–1346, 2016.
Killip R, Vişan M, Zhang X. 2016. Quintic NLS in the exterior of a strictly convex obstacle. American Journal of Mathematics. 138(5), 1193–1346.
Killip, Rowan, et al. “Quintic NLS in the Exterior of a Strictly Convex Obstacle.” American Journal of Mathematics, vol. 138, no. 5, Johns Hopkins University Press, 2016, pp. 1193–346, doi:10.1353/ajm.2016.0039.
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