主講人：王旭 中科院科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院副研究員

時(shí)間：2023年5月15日14：00

地點(diǎn)：騰訊會(huì)議 233 802 887

舉辦單位：數(shù)理學(xué)院

主講人介紹：王旭，中科院科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院優(yōu)秀青年副研究員，2018年博士畢業(yè)于中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院，2018-2021任美國(guó)普渡大學(xué)訪(fǎng)問(wèn)助理教授。主要從事隨機(jī)偏微分方程反問(wèn)題、隨機(jī)偏微分方程數(shù)值方法研究。在 Springer系列叢書(shū)Lecture Notes in Mathematics出版研究專(zhuān)著一部,在國(guó)際權(quán)威期刊SIAM系列, Journal of Differential Equations, Inverse Problems等發(fā)表研究工作。

內(nèi)容介紹：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.