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

Masato Hoshino, Yuzuru Inahama, Nobuaki Naganuma

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)


    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.

    Original languageEnglish
    Article number104
    JournalElectronic Journal of Probability
    Publication statusPublished - 2017

    All Science Journal Classification (ASJC) codes

    • Statistics and Probability
    • Statistics, Probability and Uncertainty


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