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arXiv · 1101.2763

Blowup for the Damped $L^{2}$-Critical Nonlinear Schrödinger Equation

Mohamad Darwich
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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 blowup dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}$.

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Mohamad Darwich. 2012-07-03. Blowup for the Damped $L^{2}$-Critical Nonlinear Schrödinger Equation. https://arxiv.org/abs/1101.2763

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