The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher Killip, Rowan Visan, Monica Zhang, Xiaoyi We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation (mathematical formular) for large spherically symmetric L2/x(R^d) initial data in dimensions d >= 3. In the focusing case we require that the mass is strictly less than that of the ground state. As a consequence, we obtain that in the focusing case, any spherically symmetric blowup solution must concentrate at least the mass of the ground state at the blowup time. Mathematical Sciences Publishers 2008 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22082 Killip R, Vişan M, Zhang X. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. <i>Analysis &#38; PDE</i>. 2008;1(2):229-266. doi:<a href="https://doi.org/10.2140/apde.2008.1.229">10.2140/apde.2008.1.229</a> eng info:eu-repo/semantics/altIdentifier/doi/10.2140/apde.2008.1.229 info:eu-repo/semantics/altIdentifier/issn/2157-5045 info:eu-repo/semantics/altIdentifier/e-issn/1948-206X info:eu-repo/semantics/altIdentifier/arxiv/0708.0849 info:eu-repo/semantics/openAccess