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The defocusing energy-supercritical NLS in higher dimensions |
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| Authors: | Teng Fei Zhao |
| Affiliation: | The Graduate School of China Academy of Engineering Physics, P. O. Box 2101, Beijing 100088, P. R. China |
| Abstract: | We consider the defocusing nonlinear Schrödinger equations iu t +Δu = |u| p u with p being an even integer in dimensions d ≥ 5. We prove that an a priori bound of critical norm implies global well-posedness and scattering for the solution. |
| Keywords: | Nonlinear Schrödinger equation priori bound scattering |
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