Dispersive blow up for nonlinear Schrödinger equations

Tuesday, November 1, 2016 - 11:30am - 12:20pm
Keller 3-180
Christof Sparber (University of Illinois, Chicago)
The possibility of finite-time, dispersive blow up for nonlinear equations of Schrödinger type is revisited. We extend earlier results in the literature to include the multi-dimensional case, as well as the case of Davey-Stewartson and Gross-Pitaevskii equations. As a by-product of our analysis, a sharp global smoothing estimate for the integral term appearing in Duhamel’s formula is obtained.