An Introduction to Inverse Problems for Partial Differential Equations
发布时间：2024年06月17日
浏览次数：756
发布者: Wenqiong Li
主讲人： 闫莉莉（明尼苏达大学）
活动时间： 从 2024-06-18 10:00 到 11:00
场地： 北京国际数学研究中心，全斋全29教室
In an inverse boundary problem, one seeks to determine the coefficients of a PDE inside a domain, describing internal properties, from the knowledge of boundary values of solutions of the PDE, encoding boundary measurements. Applications of such problems range from medical imaging to non-destructive testing. In this talk, starting with the celebrated work on Calder\'on problem, we shall give an introduction to inverse problems for elliptic, hyperbolic, and transport equations, including partial data inverse problems, inverse problems on Riemannian manifolds, as well as inverse problems for nonlinear equations. This talk is based on joint works with Katya Krupchyk, Ru-Yu Lai, Boya Liu, Teemu Saksala, Salem Selim, and Gunther Uhlmann.
