## 月曜解析セミナー： Global well-posedness of the stochastic complex Ginzburg-Landau equation

2017年 　 12月 1日 14時 45分 ～ 2017年 　 12月 1日 16時 00分

We discuss the solvability of the complex Ginzburg-Landau equation with a space-time Gaussian white noise, on the 3-dimensional torus. Since this equation has a singular term, its solution is defined after performing a suitable renormalization. This part is a stochastic problem. The local well-posedness was shown by Hoshino, Inahama and Naganuma. We furthermore show the global well-posedness by using a priori $L^{3+}$ inequality. This part is a purely PDE problem.

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