EVENT DETAILS AND ABSTRACT

Title: On rough blowup solutions of L² critical NLS
Speaker: Professor Jim Colliander
Speaker Info: University of Toronto
Brief Description:
Special Note:
Abstract:

The goal of the work reported upon in this talk is to understand the L² critical nonlinear Schrödinger (NLS) blowup dynamics for rough initial data. Much of the known theory for NLS blowup relies upon energy conservation and is thus restricted to H¹ solutions, even though the NLS evolution problem is well-posed in L². Two new results in the R² setting will be described: 1. For an interval of s < 1, H^s blowup solutions concentrate at least the mass of the ground state soliton into a point at blowup time. 2. L² blowup solutions concentrate at least a fixed amount (conjectured to be the mass of the ground state) of L² mass at blowup time.