Wellposedness for the KdV hierarchy

2022.06.07（星期二）17:00-18:00

点：腾讯会议 678-720-338

要：The KdV hierarchy is a hierarchy of integrable equations generalizing the KdV equation. Using the modified Muria transform, we first relate it to the Gardner hierarchy, and by exploiting the idea of approximate flow initiated by Killip-Visan, we show that the whole hierarchy is wellposed for initial data in H^{-1}(R). This is based on joint work with H.Koch and F. Klaus.