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

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

2011-01-14

arxiv.org/abs/1101.2763v2

Mathematics

Analysis of PDEs

Scientific paper

We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear
Schr\"odinger 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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