Analysis Seminar

Title: Gradient Estimates for the Heat Equation on Manifolds with Boundary
Speaker: Artem Pulemotov
Speaker Info: University of Chicago
Brief Description:
Special Note:

The first part of the talk will discuss gradient estimates for the heat equation on a manifold~$M$ with nonempty boundary and a fixed Riemannian metric. We will mainly focus on Li-Yau-type inequalities. The second part of the talk will deal with the heat equation on~$M$ in the case where the Riemannian metric on~$M$ evolves under the Ricci flow. After motivating the problem and explaining the boundary conditions involved, we will look at how Li-Yau-type inequalities adapt to this case. Based on joint work with Mihai Bailesteanu and Xiaodong Cao.
Date: Monday, November 23, 2009
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Jared Wunsch
Contact email: jwunsch@math.northwestern.edu
Contact Phone: 847-491-5580
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