**Thursday Afternoon, October 26 **
## MS54

Multidimensional Inverse Problems: Theory and Computation

The discipline of inverse problems (IP) studies determination of unknown
properties of a medium given measurements of radiation interacting with the
medium outside of the domain of interest. A typical IP leads to the
determination of an unknown coefficient of a PDE inside of a bounded domain given
some overdetermined boundary data on the boundary of this domain. An IP is
called "multidimensional" if the unknown coefficient depends on more than one
spatial variable. Multidimensional IPs have important applications in
geophysics, medical imaging, non-destructive evaluation, and ocean acoustics.
The theory and numerical methods for these IPs are still developing. The
speakers will discuss theory and algorithms for some boundary value problems in
anisotropic media, IPs of electromagnetic waves propagation, imaging of
corrosion, and diffusion tomography.
Organizer: Michael V. Klibanov

University of North Carolina, Charlotte

**12:30 Inverse Boundary Value Problems
in Anisotrophic Media**
- Gunther Uhlmann, University of Washington

**1:00 Inverse Scattering at Resonance Frequencies**
*Peter Monk* and David Colton, University of Delaware

**1:30 Imaging Corrosion Damage in Plates**
- Fadil Santosa, University of Delaware and Cornell University

**2:00 Some Numerical Methods for Multi-dimensional Inverse Scattering Problems**
- Michael Klibanov, Organizer

8/10/95