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arXiv · 1704.04396

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

Masato Hoshino
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Abstract

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 [14], where Mourrat and Weber showed the global well-posedness for the dynamical $\Phi_3^4$ model. We prove a priori $L^{2p}$ estimate for the paracontrolled solution as in the deterministic case [5].

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Masato Hoshino. 2017-04-14. Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise. https://arxiv.org/abs/1704.04396

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