On unconditional well-posedness for the periodic modified korteweg-de vries equation

Abstract

We prove that the modified KdV equation is unconditionally well-posed in H s (T) for s $\ge$ 1/3.

We corrected a flaw in the definition of the extension operator (Page 13) kindly indicated to us by Professor Tsutsumi. Corrected version that has been accepted for publication in Journal of the Mathematical Society of Japan