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

Masato Hoshino, Yuzuru Inahama, Nobuaki Naganuma

Research output: Contribution to journalArticlepeer-review

7 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


Dive into the research topics of 'Stochastic complex Ginzburg-Landau equation with space-time white noise'. Together they form a unique fingerprint.

Cite this