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

preprint2010arXivOpen access

Abstract

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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