Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS
Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS
Let $d\geq4$ and let u be a global solution to the focusing mass-critical nonlinear Schrödinger equation $iu_t+\Delta u=-|u|^{\frac{4}{d}}u$ with spherically symmetric $H_x^1$ initial data and mass equal to that of the ground state Q. We prove that if u does not scatter, then, up to phase rotation and scaling, u …