Periodic Homogenisation for Two Dimensional Generalised Parabolic Anderson Model
Time: 2024-02-28
Published By: He Liu
Speaker(s): Yilin Chen(Peking University)
Time: 16:00-17:00 March 4, 2024
Venue: Siyuan Lecture Hall, Zhihua Building
We consider the periodic homogenisation problem for the generalised parabolic Anderson model in the two dimensional torus. We prove that homogenisation and renormalisation procedures commute in this problem. The key point is to find a suitable ansatz to build up uniform regularity estimates for solutions with respect to homogenisation and renormalisation parameters. This talk is based on joint work with Benjamin Fehrman and Weijun Xu.
