Abstract
We consider a mass critical nonlinear Schrödinger equation with a real-valued potential. In this work, we construct a minimal mass solution that blows up at finite time, under weaker assumptions on spatial dimensions and potentials than Banica, Carles, and Duyckaerts (2011). Moreover, we show that the blow-up solution converges to a blow-up profile. Furthermore, we improve some parts of the arguments in Raphaël and Szeftel (2011) and Le Coz, Martel, and Raphaël (2016).
Citation
Naoki Matsui. "Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential." Tohoku Math. J. (2) 75 (2) 215 - 232, 2023. https://doi.org/10.2748/tmj.20211216
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