APS
Speaker: Kshitij Sinha, IIT Bombay
Host: Harsha Hutridurga
Title: Mathematical study of few questions in quantitative homogenization
Time, day and date: 3:30:00 PM – 4:30:00 PM, Friday, September 26
Venue: Ramanujan Hall
Abstract: In this talk, we study rates in the context of periodic homogenization of parabolic problems with large lower order terms (both drift and potential). We demonstrate that the solution is a product of three terms: (i) a function of time, (ii) the ground-state of an exponential cell eigenvalue problem and (iii) the solution to a parabolic equation with zero effective drift. For the latter, we derive L^2 rates in the homogenization limit. We will also be discussing a question regarding the interior controllability of wave equations with highly oscillatory coefficients.