Description
Mathematics Colloquium Talk I.
Speaker: Agnid Banerjee.
Affiliation: TIFR-CAM, Bangalore.
Date and Time: Monday 23 September, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: The structure of the regular and the singular set of the free
boundary in the obstacle problem for fractional heat equation.
Abstract: In this talk, I will discuss the structure of the free boundary
in the obstacle problem for fractional powers of the heat operator. Our
results are derived from the study of a lower dimensional obstacle problem
for a class of local, but degenerate, parabolic equations. The analysis
will be based on new Almgren, Weiss and Monneau type monotonicity formulas
and the associated blow-up analysis. This is a joint work with D.
Danielli, N. Garofalo and A. Petrosyan.