Abstract
We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation for large spherically symmetric initial data in dimensions . 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.
Citation
Rowan Killip. Monica Visan. Xiaoyi Zhang. "The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher." Anal. PDE 1 (2) 229 - 266, 2008. https://doi.org/10.2140/apde.2008.1.229
Information