Distinguished Lecture——Random data theory for partial differential equations
报告人：Nicolas Burq (Université Paris-Saclay）
时间：2024-03-08 15:00-16:00
地点：智华楼四元厅
摘要：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.
个人简介： Nicolas Burq为法国萨克雷大学教授，主要从事领域为偏微分方程。
他在微局部分析、控制论、色散方程、随机波方程等方向作出了重要贡献，并于2010年受邀做ICM 45分钟报告。
