Speaker: Nicolas Burq (Université Paris-Saclay）

Time: 15:00-16:00 p.m., March 8, 2024, GMT+8

Venue: Siyuan Hall, Zhihua Building, PKU

Abstract: 

15 years ago, with N. Tzvetkov, we initiated a working program on Partial Differential Equations with random data. The idea behind this program was that in many cases where deterministically solutions to PDE behave poorly (or when we do not know how they behave), if one chooses the data randomly (with respect to some natural probability measures on the space of initial data), then their behaviour is much better. I will present in this talk some examples when this type of "improvement by randomness" occur: well posedness properties, scattering properties... I will also present  some new deterministic results which in turn were inspired by the techniques developed in this random data context.

Source: School of Mathematical Sciences, PKU