Analysis and PDE Seminar: Dispersive decay of small data solutions for the KdV equation

Seminar | March 4 | 4:10-5 p.m. | 740 Evans Hall

 Mihaela Ifrim, UW Madison

 Department of Mathematics

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. Joint work with Herbert Koch and Daniel Tataru.