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Global well-posedness of the two-dimensional stochastic complex Ginzburg-Landau equation with cubic nonlinearity
Toyomu Matsuda · 2020-03-03 · via math.PR updates on arXiv.org

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.

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