Inverse Random Scattering Problems for Wave Equations

主讲人：王旭 中科院科学院数学与系统科学研究院副研究员

时间：2023年5月15日14：00

地点：腾讯会议 233 802 887

举办单位：数理学院

主讲人介绍：王旭，中科院科学院数学与系统科学研究院优秀青年副研究员，2018年博士毕业于中科院数学与系统科学研究院，2018-2021任美国普渡大学访问助理教授。主要从事随机偏微分方程反问题、随机偏微分方程数值方法研究。在 Springer系列丛书Lecture Notes in Mathematics出版研究专著一部,在国际权威期刊SIAM系列, Journal of Differential Equations, Inverse Problems等发表研究工作。

内容介绍：In this talk, inverse random scattering problems with a random source or potential will be introduced for different time-harmonic wave equations. The unknown random source or potential is assumed to be a generalized isotropic Gaussian random field with its covariance operator being a classical pseudo-differential operator. With information of the data observed in a bounded domain, the strength of the random source or potential, involved in the principal symbol of its covariance operator, is shown to be uniquely determined by a single realization of the magnitude of the wave field averaged over the frequency band with probability one.