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Rate of $L^2$-concentration of the blow-up solution for critical nonlinear Schrödinger equation with potential

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  • We consider the blow-up solutions of the Cauchy problem for the critical nonlinear Schrödinger equation with a repulsive harmonic potential. In terms of Merle and Tsutsumi's arguments as well as Carles' transform, the $L^2$-concentration property of radially symmetric blow-up solutions is obtained.
    Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B44.

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