Special Session 80: Inverse Problems and Imaging

Inverse problems arising in nonlinear acoustic imaging

Yang Zhang
University of Washington
USA
Co-Author(s):    Gunther Uhlmann
Abstract:
Nonlinear ultrasound waves are widely used in medical imaging. The propagation of high-intensity ultrasound waves can be modeled by nonlinear wave equations. In this talk, we consider an inverse problem for a nonlinear wave equation with a general nonlinearity. We show the Dirichlet-to-Neumann map (DN map) determines the nonlinearity. We also consider inverse problems for nonlinear wave equations with a general nonlinear term and a damping term.