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The defocusing energy-supercritical NLS in higher dimensions.
- Source :
-
Acta Mathematica Sinica . Jul2017, Vol. 33 Issue 7, p911-925. 15p. - Publication Year :
- 2017
-
Abstract
- We consider the defocusing nonlinear Schrödinger equations i u +Δ u = | u| 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 33
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 123717114
- Full Text :
- https://doi.org/10.1007/s10114-017-6499-2