GENERAL
SEMINAR

“Global smoothing for Korteweg de Vries equation with periodic boundary
conditions.”

by

BURAK
ERDOĞAN

University of Illinois at Urbana-Champain

Abstract: In this
talk we will review the low regularity well-posedness results of the KdV
equation  introducing various methods used in the theory. We will also
discuss a recent result on the smoothing properties of the equation which
states that for initial data in Sobolev spaces ($H^s$, $s>-1/2$) the difference
of the linear and nonlinear evolutions always belongs to a higher index Sobolev
space. This is a joint work with Nikos Tzirakis.

Date : April 20, 2011 (Wednesday)

Time : 15.40-16.30

Place: Bilkent University ,Mathematics Seminar Room SA141

Tea will be served before the seminar.