### Tuesday, July 14

## MS34

Applied Inverse Problems in PDE

2:00 PM-4:00 PM

*Room: Sidney Smith 2108*

The main topic of the minisymposium is to report on recent advances in inverse problems for differential equations related to finance, optics, and elasticity. The speakers will discuss inverse problems of option pricing, determination of the volatility coefficient from current market data. They will present theoretical results and the speakers will also discuss numerical inverse problems for nonlinear elliptic equations in elasticity in which one tries to determine a constitutive law from boundary measurements of an elastic body.

**Organizer: Victor Isakov**

*Wichita State University*
**2:00 The Inverse Problem of Option Pricing**
- Victor Isakov, Organizer
**2:30 Valuation of Derivatives for Arbitrary Diffusion Processes**
- Ilia Bouchouev, Koch Industries, Inc., Wichita
**3:00 Focusing and Imaging Using Eigenfunctions of the Scattering Operator**
- T. Douglas Mast, Pennsylvania State University;
*Adrian Nachman* and Robert C. Waag, University of Rochester
**3:30 Topics in Inverse Problems for Nonlinear Equations**
- Ziqi Sun, Wichita State University

LMH Created: 3/18/98, MMD Updated: 5/13/98