Advances in Differential Equations

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

Darwich Mohamad

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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

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355703089

Mathematical Reviews number (MathSciNet)
MR2919105

Subjects
Primary: 35M11: Initial value problems for equations of mixed type 35A01: Existence problems: global existence, local existence, non-existence

Citation

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.


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