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

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, Hs 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.
Date: Friday, February 25, 2005
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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