2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227748We consider the mass concentration phenomenon for the $L^2$-critical nonlinear Schrödinger equations of higher orders. We show that any solution $u$ to $iu_{t} + (-Δ)^{\fracα2} u =\pm |u|^\frac{2α}{d}u$, $u(0,\cdot)\in L^2$ for $α>2$, which blows up in a finite time, satisfies a mass concentration phenomenon near the blow-up time. We verify that as $α$ increases, the size of region capturing a mass concentration gets wider due to the stronger dispersive effect.21 pages, 2 figuresAnalysis of PDEs35B05, 35B30, 35B33, 35Q55, 42B10Mass concentration for the $L^2$-critical Nonlinear Schrödinger equations of higher orderstext