The next APDE seminar will be given on Monday, 03/04 by Mihaela Ifrim in Evans 740 from 4:10 to 5pm.
Title: Dispersive decay of small data solutions for the KdV equation
Authors: Mihaela Ifrim, Herbert Koch, Daniel Tataru
Abstract: We consider the Korteweg-de Vries (KdV) equation, and prove that small localized data yields solutions which have dispersive decay on a quartic time-scale. This result is optimal, in view of the emergence of solitons at quartic time, as predicted by inverse scattering theory.