题    目：Inverse time-dependent source problems for a moving extend source with unknown pulse moments

主讲人：马冠球

单    位：四川师范大学

时    间：2025年1月15日 15:00

腾讯ID：493-493-358

密    码：250115

摘    要：In this talk, we introduce a factorization method for imaging the support of a time-dependent source and the pulse moment from multi-frequency data measured at sparse directions. Using the multi-frequency far-field data at two opposite observation directions, we provide a computational criterion for indicating the unknown pulse moment. The support of the time-dependent source function can be characterized by the idea in the author's previous work (H. Guo and G. Hu, to appear in: SIAM J. Numer. Anal., arXiv: 2305.07459). The far-field data measured at sparse observation directions can be used to recover the Θ-convex domain of the support. Uniqueness in recovering the convex hull of the support is obtained as a by-product of our analysis using all observation directions. Extensive numerical tests in both two and three dimensions are implemented to show effectiveness and feasibility of the approach.

简    介：马冠球，四川师范大学讲师，研究方向：偏微分方程反问题，在SIAM J. Imaging Sci.,Inverse Problems等国际权威期刊发表多篇学术论文。