Global well-posedness and scattering for the defocusing cubic nonlinear Schrödinger equation in four dimensions Visan, Monica In this short note, we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical nonlinear Schrödinger equation (NLS) in four space dimensions obtained previously by Ryckman and Visan [“Global well-posedness and scattering for the defocusing energycritical nonlinear Schrödinger equation in R^1+4⁠.” American Journal of Mathematics 129 (2007): 1–60. MR2288737]. The argument is inspired by the recent work of Dodson [“Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d≥3.” (2009): preprint arXiv:0912.2467.] on the mass-critical NLS. Oxford University Press 2012 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22075 Vişan M. Global well-posedness and scattering for the defocusing cubic nonlinear Schrödinger equation in four dimensions. <i>International Mathematics Research Notices</i>. 2012;2012(5):1037-1067. doi:<a href="https://doi.org/10.1093/imrn/rnr051">10.1093/imrn/rnr051</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rnr051 info:eu-repo/semantics/altIdentifier/issn/1073-7928 info:eu-repo/semantics/altIdentifier/e-issn/1687-0247 info:eu-repo/semantics/altIdentifier/arxiv/1011.1526 info:eu-repo/semantics/openAccess