article The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher published yes Rowan Killip author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca Xiaoyi Zhang author 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 Publishers2008 eng Analysis & PDE 2157-5045 1948-206X 0708.084910.2140/apde.2008.1.229 12229-266 yes 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> Killip, Rowan, et al. “The Mass-Critical Nonlinear Schrödinger Equation with Radial Data in Dimensions Three and Higher.” <i>Analysis &#38; PDE</i>, vol. 1, no. 2, Mathematical Sciences Publishers, 2008, pp. 229–66, doi:<a href="https://doi.org/10.2140/apde.2008.1.229">10.2140/apde.2008.1.229</a>. R. Killip, M. Vişan, X. Zhang, Analysis &#38; PDE 1 (2008) 229–266. Killip, R., Vişan, M., &#38; Zhang, X. (2008). The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. <i>Analysis &#38; PDE</i>. Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/apde.2008.1.229">https://doi.org/10.2140/apde.2008.1.229</a> Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “The Mass-Critical Nonlinear Schrödinger Equation with Radial Data in Dimensions Three and Higher.” <i>Analysis &#38; PDE</i>. Mathematical Sciences Publishers, 2008. <a href="https://doi.org/10.2140/apde.2008.1.229">https://doi.org/10.2140/apde.2008.1.229</a>. R. Killip, M. Vişan, and X. Zhang, “The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher,” <i>Analysis &#38; PDE</i>, vol. 1, no. 2. Mathematical Sciences Publishers, pp. 229–266, 2008. Killip R, Vişan M, Zhang X. 2008. The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis &#38; PDE. 1(2), 229–266. 220822026-06-19T08:27:33Z2026-07-01T07:15:15Z