Controllability properties of coupled PDEs
报告专家：Emmanuel Trélat 院士（法国Sorbonne Université）
报告时间：6月20日（星期五)下午4:00-5:00
报告地点：国家天元数学西南中心516
报告摘要：In a series of works with Hugo Lhachemi and Christophe Prieur, we investigate the controllability properties of some coupled PDEs, which can be of different natures.
For a heat-wave PDE with coupling at the boundary, we establish exact, exact null and approximate controllability in appropriate Hilbert spaces, under sharp assumptions. Our approach relies on an Ingham-Müntz inequality, allowing us to establish an observability inequality for the dual problem. The resulting controllability space, which depends on the coupling function and is characterized in a spectral way, is not a conventional functional space.
If time allows, I will also give some results for other cascade systems, providing new results for coupled heat equations where interesting changes happen at some specific times in the controllability properties.
专家简介：Emmanuel Trélat，法国Sorbonne Université教授，欧洲科学院院士，曾获欧洲数学大会Felix Klein奖等。他主要研究有限和无限维系统的控制理论、次黎曼几何、图像分析、区域优化、最优控制数值方法及应用，曾应邀在2018年国际数学家大会作45分钟报告。他系数学控制论顶刊ESAIM: Control Calc. Var. Optim.主编、美国工业与应用数学学会旗舰刊物SIAM Review等编委。
邀请人：张旭
