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Masato Hoshino, Global well-posedness of complex Ginzburg–Landau equation with a space–time white noise, *Annales de l'Institut Henri Poincaré, Probabilités et Statistiques*, 54, 4, 1969-2001, 2018.11, 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 Φ43 model on the torus), where Mourrat and Weber showed the global well-posedness for the dynamical Φ43 model. We prove a priori L2p estimate for the paracontrolled solution as in the deterministic case [Phys. D 71 (1994) 285–318].. |

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Masato Hoshino, Paracontrolled calculus and Funaki-Quastel approximation for the KPZ equation, *Stochastic Processes and their Applications*, 128, 4, 1238-1293, 2018.04, In this paper, we consider the approximating KPZ equation introduced by Funaki and Quastel (2015), which is suitable for studying invariant measures. They showed that the stationary solution of the approximating equation converges to the Cole-Hopf solution of the KPZ equation with extra term \frac{1}{24}t. On the other hand, Gubinelli and Perkowski (2017) gave a pathwise meaning to the KPZ equation as an application of the paracontrolled calculus. We show that Funaki and Quastel's result is extended to nonstationary solutions by using the paracontrolled calculus.. |

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Masato Hoshino, Yuzuru Inahama, Nobuaki Naganuma, Stochastic complex Ginzburg-Landau equation with space-time white noise, *Electronic Journal of Probability*, 22, 104, 2017.12. |

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Tadahisa Funaki, Masato Hoshino, A coupled KPZ equation, its two types of approximations and existence of global solutions, *Journal of Functional Analysis*, 273, 3, 1165-1204, 2017.08. |

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＠Masato Hoshino, KPZ equation with fractional derivatives of white noise, *Stochastic and Partial Differential Equations: Analysis and Computations*, 4, 4, 827-890, 2016.07. |