An Introduction to Inverse Problems for Partial Differential Equations
Time: 2024-06-17
Published By: Wenqiong Li
Speaker(s): Lili Yan (University of Minnesota System)
Time: 10:00-11:00 June 18, 2024
Venue: Room 29, Quan Zhai, BICMR
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.
