Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise

被引：7
|
作者：
Hoshino, Masato [1 ]
机构：
[1] Waseda Univ, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1690072, Japan
来源：
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2018年 / 54卷 / 04期
关键词：
Complex Ginzburg-Landau equation; Paracontrolled calculus;
D O I：
10.1214/17-AIHP862
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We show the global-in-time well-posedness of the complex Ginzburg-Landau (CGL) equation with a space-time white noise on the 3-dimensional torus. Our method is based on Mourrat and Weber (Global well-posedness of the dynamic Phi(4)(3) model on the torus), where Mourrat and Weber showed the global well-posedness for the dynamical Phi(4)(3) model. We prove a priori L-2p estimate for the paracontrolled solution as in the deterministic case.
引用
收藏
页码：1969 / 2001
页数：33
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