Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	David Damanik，美国莱斯大学
Inviter:	郑作环、周喆
Title:	The KdV equation with almost periodic initial data
Time & Venue:	2019.10.30 16:00-17:00 N202
Abstract:	Percy Deift has conjectured that solutions to the KdV equation with almost periodic initial data exist globally and are almost periodic in time. This talk will present the history and context of the problem, and explain recent work related to the Deift conjecture, especially in cases where the initial data in question are reflectionless. Within this class of initial data, the conjecture has been confirmed under suitable additional assumptions, but the resulting setup that establishes almost periodicity in time also suggests which mechanisms may be responsible for the potential existence of counterexamples.