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Inverse random source problems for wave equations
时间:2021年10月10日 21:05 点击数:

报告人:李培军

报告地点:万博ManBetX客户端登录111室

报告时间:2021年10月9日星期六15:00—16:00

邀请人:冀书关、高忆先

报告摘要:

In this talk, inverse random source problems for acoustic and electromagnetic waves will be introduced. The unknown random source is assumed to be a microlocally isotropic Gaussian random field with its covariance operator being a classical pseudo-differential operator. The well-posedness of the direct problem in the distribution sense as well as the regularity of the solution is given for the case that the random source is extremely rough and should be interpreted as a distribution. The strength of the random source, 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

主讲人简介:

李培军,美国普渡大学教授,国际著名反问题专家。

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