## EVENT DETAILS AND ABSTRACT

**Colloquium**
**Title:** On rough blowup solutions of L^{2} 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 L^{2}
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 H^{1} solutions, even though the NLS evolution problem is
well-posed
in L^{2}. Two new results in the R^{2} 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. L^{2} blowup
solutions concentrate at least a fixed amount (conjectured to be the mass of
the
ground state) of L^{2} 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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