学术报告

报告题目：Exact Controllability for a Refined Stochastic Wave Equation

报告人：吕琦 教授 (四川大学)

报告时间：2025年5月21日（星期三）14:30-15:30

报告地点：数学大楼914报告厅

参加人员：本科生、研究生、教师

报告摘要：A widely used stochastic wave equation is the classical wave equation perturbed by a term of Ito’s integral. We show that this equation is not exactly controllable even if the controls are effective everywhere in both the drift and the diffusion terms and also on the boundary. In some sense this means that some key feature has been ignored in this model. Then, based on a stochastic Newton’s law, we propose a refined stochastic wave equation. By means of a new global Carleman

estimate, we establish the exact controllability of our stochastic wave equation with three controls. Moreover, we give a result about the lack of exact controllability,

which shows that the action of three controls is necessary. Our analysis indicates that, at least from the point of view of control theory, the new stochastic wave equation

introduced in this paper is a more reasonable model than that in the existing literatures.

报告人简介： 吕琦， 四川大学数学学院教授，博士生导师，国家级人才，世界数学家大会45分钟报告者。 主要研究偏微分方程和随机微分方程的控制理论， 尤其在随机偏微分方程极大值原理领域做出开创性工作， 在 CPAM, JEMS, JMPA, SICON 等发表论文多篇， 担任 SICON 等刊物编委。 在Springer出版专著三部；获教育部青年科学奖、霍英东教育基金会高等院校“青年科学奖”，教育部重要人才， 中国工业与应用数学学会应用数学青年科技奖，中国数学会钟家庆奖，王选杰出青年学者等。