报告人：Emmanuel Trélat
报告地点：人民大街校区数学与统计学院104室
报告时间：2026年05月07日星期四14:00-15:00
邀请人：高夯 林萍
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 usual functional space.
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.
主讲人简介：
Emmanuel Trélat is full professor at Sorbonne Université and is the director of Laboratoire Jacques-Louis Lions. He is Associate Editor of several other journals, including SIAM Review，and is the former Editor in Chief of the journal ESAIM: Control Calc. Var. Optim.. He has been awarded a number of prizes, among which the Felix Klein Prize in 2012, and an invited speaker invitation to ICM in 2018. He is also a member of Academia Europaea. His research interests range over control theory in finite and infinite dimension, optimal control, stabilization, geometry, numerical analysis. He also collaborates with industrials, for example he is the inventor of the software that is used for the control guidance of the Ariane launchers.
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