Kodjo Raphael Madou (McGill University)

PDEs & Applications Seminar

Friday, March 28, 2025

Time: 10:30 a.m.  Place: Jeffery Hall, Room 319

Speaker: Kodjo Raphael Madou (McGill University)

Title: On the supercritical fractional diffusion equation with Hardy-type drift

Abstract: The subject of this talk is the heat kernel of the supercritical fractional diffusion equation with a drift in the critical Hölder space. One way to address such drifts in the non-local setting is to introduce certain desingularizing weights and apply Nash's method in a weighted space. We show that such a drift can have point irregularities strong enough to make the heat kernel vanish at a point for all t>0. The talk is based on joint work with D. Kinzebulatov and Yu A. Semenov.