报告题目:Inverse Random Scattering Problems for Wave Equations
报告人:王旭副研究员 中国科学院数学与系统科学研究院
时间:2023.4.12 下午14:00-15:00
腾讯会议号:836-122-148 (https://meeting.tencent.com/dm/tR9uKNYZ5s5j)
报告摘要: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.
报告人简介:王旭,中国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。