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On the Blowup for the $L^2$‐Critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class
We consider the focusing mass‐critical nonlinear Schrödinger equation and prove that blowup solutions to this equation with initial data in $H^s(\R^d)$, $s > s_0(d)$ and $d\geq 3$, concentrate at least the mass of the ground state at the blowup time. This extends recent work by Colliander et al. [Math. Res. …