DMS Applied Mathematics Seminar

Speaker: Shitao Liu (Clemson University)

Title: Inverse Hyperbolic Problems

Abstract: Inverse hyperbolic problems arise naturally in many practical applications such as medical imaging and geophysical exploration. Mathematically, the problems consist of determining the coefficients of second-order hyperbolic equations from the boundary measured data. In this talk we will discuss the single measurement and many measurements—two of the most important formulations—of the inverse hyperbolic problems. In particular, we will make a thorough study on the uniqueness and stability of reconstructing the wave speed from acoustic boundary measurement based on different approaches that are linked to the boundary control theory for hyperbolic equations.