For the complex-valued periodic mKdV, the authors construct infinitely many invariant weighted Gaussian measures and prove unconditional well-posedness at H^s for s>4/3.
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Well-posedness and invariant measures for complex valued modified KdV equation
For the complex-valued periodic mKdV, the authors construct infinitely many invariant weighted Gaussian measures and prove unconditional well-posedness at H^s for s>4/3.