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| Global Well-Posedness and Scattering for the Defocusing ˙H s-Critical NLS |
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Citation： |
Jian XIE,Daoyuan FANG.Global Well-Posedness and Scattering for the Defocusing ˙H s-Critical NLS[J].Chinese Annals of Mathematics B,2013,34(6):801~842 |
| Page view： 1712
Net amount： 1176 |
Authors： |
Jian XIE; Daoyuan FANG; |
Foundation： |
National Natural Science Foundation of China (Nos. 10931007, 11226184,11271322) and the Zhejiang Provincial Natural Science Foundation of China (No. Z6100217). |
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| Abstract： |
The authors consider the scattering phenomena of the defocusing ˙H s-critical
NLS. It is shown that if a solution of the defocusing NLS remains bounded in the critical
homogeneous Sobolev norm on its maximal interval of existence, then the solution is global
and scatters. |
Keywords： |
Nonlinear Schr¨odinger equation, Scattering, Global well-posedness |
Classification： |
35Q41, 35B40 |
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