@article{c5890cc4c6804f7da2ba3d89661b7bf3,
title = "Stochastic complex Ginzburg-Landau equation with space-time white noise",
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 understood 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.",
author = "Masato Hoshino and Yuzuru Inahama and Nobuaki Naganuma",
note = "Funding Information: The authors thank Professor Reika Fukuizumi of Tohoku University for stimulating discussions and valuable advice. They also thank Professor Makoto Katori of Chuo University for helpful comments. The first named author was partially supported by JSPS KAKENHI Grant Number JP16J03010. The second named author was partially supported by JSPS KAKENHI Grant Number JP15K04922. The third named author was partially supported by JSPS KAKENHI Grant Number JP17K14202. Publisher Copyright: {\textcopyright} 2017, University of Washington. All rights reserved.",
year = "2017",
doi = "10.1214/17-EJP125",
language = "English",
volume = "22",
journal = "Electronic Journal of Probability",
issn = "1083-6489",
publisher = "Institute of Mathematical Statistics",
}