Mathematics Colloquia and Seminars
Dispersive decay of small data solutions for the KdV equationPDE and Applied Math Seminar
|Speaker:||Mihaela Ifrim, University of Wisconsin Madison|
|Start time:||Fri, Mar 1 2019, 4:10PM|
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.