Uniqueness and almost periodicity in time of solutions of the KdV equation with certain almost periodic initial conditions
SPEAKER | Ilia Binder
DATE | May 11(Thu), 2017
TIME | 11:00
PLACE | 1503
ABSTRACT | In 2008, P. Deift conjectured that the solution of KdV equation with almost periodic initial data is almost periodic in time. I will discuss the proof of this conjecture (as well as the uniqueness) in the case of the so-called Sodin-Yuditskii type initial data, i.e. the initial data for which the associated Schroedinger operator has purely absolutely continuous spectrum which satisfies some regularity conditions. In particular, it applies to small analytic quasiperiodic initial data with Diophantine frequency vector. This is a joint work with D. Damanik (Rice), M. Goldstein (Toronto) and M. Lukic (Rice).