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arXiv · 1702.07062

Stochastic complex Ginzburg-Landau equation with space-time white noise

Masato Hoshino·Yuzuru Inahama·Nobuaki Naganuma
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Abstract

We study the stochastic cubic complex Ginzburg-Landau equation with complex-valued space-time white noise on the three dimensional torus. This nonlinear equation is so singular that it can only be under- stood in a renormalized sense. In the first half of this paper we prove local well-posedness of this equation in the framework of regularity structure theory. In the latter half we prove local well-posedness in the framework of paracontrolled distribution theory.

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Masato Hoshino, Yuzuru Inahama, Nobuaki Naganuma. 2017-02-23. Stochastic complex Ginzburg-Landau equation with space-time white noise. https://arxiv.org/abs/1702.07062

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