Chennai Mathematical Institute

Seminars




Seminar Announcement
Date: Thursday, 17 April 2025
Time: 3:30 PM
Venue: Seminar Hall
Quantitative uniqueness for parabolic equations with applications

Vedansh Arya
University of Jyväskylä.
17-04-25


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 Agnid Banerjee and Nicola Garofalo.