Abstract
We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear Schrödinger equation. We prove existence and stability of finite time blow-up dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}.$
Citation
Darwich Mohamad. "Blow-up for the damped $L^{2}$-critical nonlinear Schrödinger equation." Adv. Differential Equations 17 (3/4) 337 - 367, March/April 2012. https://doi.org/10.57262/ade/1355703089
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