### Blow-up for the damped $L^{2}$-critical nonlinear Schrödinger equation

#### 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 $\|\nabla u(t)\|_{L^2}.$

#### Article information

Source
Adv. Differential Equations, Volume 17, Number 3/4 (2012), 337-367.

Dates
First available in Project Euclid: 17 December 2012

Mohamad, Darwich. Blow-up for the damped $L^{2}$-critical nonlinear Schrödinger equation. Adv. Differential Equations 17 (2012), no. 3/4, 337--367. https://projecteuclid.org/euclid.ade/1355703089