Well-posedness and invariant measures for complex valued modified KdV
equation
Well-posedness and invariant measures for complex valued modified KdV
equation
We consider the one dimensional periodic complex valued mKdV, which corresponds to the first equation above cubic NLS in the associated integrable hierarchy. Our main result is the construction of a sequence of invariant measures supported on Sobolev spaces with increasing regularity. The fact that we work with complex valued …