@article{a9a4fe7e46224770b948a202c5f8943a,
title = "Global well-posedness of complex Ginzburg-Landau equation with a space-time white noise",
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 Mourrat and Weber (Global well-posedness of the dynamic Φ4 3 model on the torus), where Mourrat and Weber showed the global well-posedness for the dynamical Φ4 3 model. We prove a priori L2p estimate for the paracontrolled solution as in the deterministic case [Phys. D 71 (1994) 285-318].",
author = "Masato Hoshino",
note = "Funding Information: Supported by JSPS KAKENHI, Grant-in-Aid for JSPS Fellows, 16J03010. The author would like to thank Professor R. Fukuizumi for leading him to the problem discussed in this paper and Professor T. Funaki for him helpful remarks. He would like to thank Professor Y. Inahama and N. Naganuma also for their valuable advices. Publisher Copyright: {\textcopyright} Association des Publications de l'Institut Henri Poincar{\'e}, 2018",
year = "2018",
month = nov,
doi = "10.1214/17-AIHP862",
language = "English",
volume = "54",
pages = "1969--2001",
journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",
issn = "0246-0203",
publisher = "Institute of Mathematical Statistics",
number = "4",
}