报告人：汪更生(天津大学)

邀请人：郑权

报告时间：2022年5月17日（星期二）9:30-11:30

报告地点：科技楼南楼611室

报告题目：Observability  for heat equations with memory

报告摘要：We study the observability of heat equations with real analytic memory kernels.The solutions of such equations have the hybrid heat-wave nature. We characterize the geometry  on  observation sets that ensure several observability inequalities contributed by the wave--like effect of the solutions.  By an observation set, we mean the space--time support of  an  observer, which is chosen to be measurable. In addition,  some applications to control are presented.The main components used to obtain our results are as follows: 1)the decomposition theorem given  in our previous work (published in 2022) , 2)the time--analyticity  for solutions of our equations, 3) a modified three--step strategy, and 4) an estimate  for  solutions of the pure heat equation. This is joint work with Y. Zhang and E. Zuazua.

报告人简介：汪更生，天津大学应用数学中心教授，主要从事分布参数系统控制理论的研究，出版《Time Optimal Control of Evolution Equations》、《Periodic Feedback Stabilization for Linear Periodic Evolution Equations》学术专著两部. 现任国际控制论权威刊物《SIAM J. Control Optim.》以及控制论知名期刊《ESAIM Control Optim. Calc. Var.》和《Mathematical Control and Related Fields》的编委。