报告人：李景治 教授（南方科技大学）
报告题目：Determining a random Schr{\"o}dinger equation with unknown source and potential
报告摘要： This talk studies the direct and inverse scattering problem associated with a time-harmonic random Schr{\"o}dinger equation with a Gaussian white noise source term. We establish the well-posedness of the direct scattering problem and obtain three uniqueness results in determining the variance of the source term, the potential and the mean of the source term, sequentially, by the corresponding far field measurements. The first one shows that a single realization of the passive scattering measurement can uniquely recover the variance of the source term, without knowing the other two unknowns. The second shows that if active scattering measurement is further used, then a single realization can uniquely recover the potential function without knowing the source term. The last one shows that if full measurements are used, then both the potential and the random source can be uniquely recovered.
报告人简介：李景治，南方科技大学数学系教授，系副主任，目前主要从事计算数学及相关领域，研究领域涉及到反问题理论与计算方法，形状优化与微分形式统一理论，科学计算，有限元方法和计算金融等。
报告时间：2019年10月26日（星期六）下午2：30-4：30
报告地点：科技楼南楼713
