中科院数学与系统科学研究院
数学研究所
动力系统研讨班
报告人: 刘继军 教授 (东南大学数学学院)
题 目:Inverse source problems for PDEs with time fractional order derivatives
时 间:2020.09.16(星期三), 10:30-11:30
地 点:数学院南楼N902室
摘 要:The inverse problems for PDEs are of great importance mathematically due to the ill-posedness and nonlinearities, which are also quite popular arising from many engineering areas such as contamination control, geophysics, remote sensing and image process. In recent years, it is found that some slow diffusion processes should be described by PDEs with time fractional order derivatives. The nonlocal properties of the fractional derivatives bring new challenges for the corresponding inverse problems. In this talk, we will introduce our work in these areas in recent years, including uniqueness, regularizing schemes and numerical implementations for reconstruction schemes for some inverse source problems. This is a joint work with Prof. M.Yamamoto in the University of Tokyo.
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