Global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation with cubic nonlinearity
arXiv:2003.01569
Abstract
The aim of this paper is to prove, under minimum assumptions, the global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation on the torus driven by the additive space-time white noise. In addition to the global well-posedness, we prove an estimate of the solution which is uniform with respect to the initial condition and the strong Feller property of the dynamics.
77 pages