Global well-posedness and scattering for the defocusing cubic NLS in four dimensions

Details Global well-posedness and scattering for the defocusing cubic NLS in four dimensions Global well-posedness and scattering for the defocusing cubic NLS in four dimensions

2010-11-05

arxiv.org/abs/1011.1526v1

Mathematics

Analysis of PDEs

Scientific paper

In this short note we present a new proof of the global well-posedness and
scattering result for the defocusing energy-critical NLS in four space
dimensions obtained previously by Ryckman and Visan. The argument is inspired
by the recent work of Dodson on the mass-critical NLS.

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