This book is mainly a collection of lecture notes for the 2021 LIASFMA International Graduate School on Applied Mathematics. It provides the readers some important results on the theory, the methods, and the application in the field of "Control of Partial Differential Equations". It is useful for researchers and graduate students in mathematics or control theory, and for mathematicians or engineers with an interest in control systems governed by partial differential equations.
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Jean-Michel Coron (born August 8, 1956) is a French mathematician. He first studied at École Polytechnique, where he worked on his PhD thesis advised by Haïm Brezis. Since 1992, he has studied the control theory of partial differential equations, and which includes both control and stabilization. His results concern partial differential equations related to fluid dynamics, with emphasis on nonlinear phenomena, and part of them found applications to control channels. He had previously worked in the field of non-linear functional analysis, where he also obtained significant results. Jean-Michel Coron was awarded numerous prizes, like the Fermat prize in 1993, the Jaffé prize in 1995 by the Académie des Sciences, the Dargelos prize in 2002, and the ICIAM Maxwell Prize in 2015. He was invited at the 1990 International Congress of Mathematicians (Kyoto) in the section Partial Differential Equations, and he was also invited as a plenary speaker at the 2010 International Congress of Mathematicians, Hyderabad, India. He is now a Professor at the Sorbonne Université in Paris, and a Senior member of the Institut Universitaire de France.
Tatsien Li is a Professor in the School of Mathematical Sciences at Fudan University in Shanghai. He is specialists of the theory, control and applications of nonlinear partial differential equations. Tatsien Li is a member of the Chinese Academy of Sciences and a foreign member of the French Academy of Sciences. He has received numerous prestigious awards and honors, including the Hua Loo-Keng Prize of Mathematics in 2007 and the ICIAM Su Buchin Prize in 2015.
Zhiqiang Wang is a Professor in the School of Mathematical Sciences at Fudan University in Shanghai. He received his PhD degree in 2006 at Fudan University and worked as a postdoc at Laboratoire Jacques-Louis Lions of Université Pierre et Marie Curie during 2008 and 2010. Since then he has been working in the field of control of partial differential equations and applications.
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