Speaker: Agnid Banerjee
Title: Quantitative uniqueness for parabolic equations with applications
Date, Time, Venue : 30th July (Tuesday) at 11:30 am in Ramanujan Hall
Abstract: I will talk about a new sharp estimate of the order of vanishing
of solutions to parabolic equations with variable coefficients. In case of
real analytic coefficients, I will then show that an application of such
an estimate leads to a parabolic generalization of the well known
Donnelly-Fefferman nodal set estimate. I will also present applications
to new Landis type results in the parabolic setting. This is based on
joint work with Vedansh Arya and Nicola Garofalo.