Stability of invariant measures and continuity of the KdV flow

作者：Cacciafesta Federico^*

来源：Bulletin of the Brazilian Mathematical Society, 2016, 47(1): 201-210.

DOI：10.1007/s00574-016-0132-3

• KdV equation
• invariant measures

We prove continuity of the KdV flow on spaces of probability measures with respect to some Wasserstein metrics on H (s) , s > 0 and obtain, as a consequence, stability of the invariant measure built by Bourgain in [2]. The main reference is paper [7], joint work with A.S. de Suzzoni.

• 出版日期2016-3