报告题目：Boundary control and observation to inverse problems in heat equation
报 告 人：赵志学，天津师范大学
报告摘要：In this talk, we consider an inverse problem of determining the spatially variable diffusion coefficient of a one dimensional heat equation with an unknown spatial varying source term and initial value. The big challenge of the problem comes from the multiple unknowns and very limited available data that are only boundary control and boundary observation at one end, in addition to the ill-posed nature of the inverse problem. We first design a switch on/off boundary control and show that the diffusion coefficient can be uniquely determined by the boundary observation. Next, a stable numerical algorithm for reconstruction of the diffusion coefficient is proposed by means of the matrix pencil method and optimal perturbation regularization technique. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed identification algorithm.
报告人简介：赵志学，天津师范大学数学科学学院副教授，2012年博士毕业于中国科学院数学与系统科学研究院，研究方向为分布参数系统控制、偏微分方程反问题及其在地下水科学中的应用。在IEEE Transactions on Automatic Control, Journal of the Franklin Institute, International Journal of Control, Hydrological Processes等期刊发表论文20余篇，主持国家自然科学基金项目2项，入选天津市131创新型人才。
报告时间：2023年11月10日 14:00-16:00
报告地点：文渊楼B536
主办单位：伟德国际1946源自英国
