Applied Mathematics Colloquium
Mathematics Department, Purdue University
Abstract: We will review the recent progress in the mathematical theory of multiwave tomography arising in thermo- and photo-acoustic tomography, for example. We are mostly interested in the case of a variable sound speed, including a speed with jumps, modeling brain imaging; with full or partial data. We present a microlocal approach for recovery the source if the speed is known. We will also show that the linearized problem of recovery both the source and the speed is ill posed.
The talk is based on joint results with Gunther Uhlmann and we will present numerical reconstructions obtained together with Qian, Uhlmann, and Zhao.
Host: Guillaume Bal