### Monday, June 1

## CM2

Inverse Spectral Problems

10:15 AM-12:15 PM

*Room 242*

In an inverse spectral problem one seeks to determine coefficients in a differential operator from information about the spectrum of the operator, subject to specific side conditions. Data of this kind, such as the frequencies of normal mode oscillations, are often obtained from measurement and thus study of such problems may lead to computational methods of practical importance.

In this minisymposium, the speakers will present results on recent developments in inverse spectral theory including Sturm-Liouville type inverse spectral problems for singular potentials with applications to helioseismology, inverse problems for fourth order operators related to Euler-Bernoulli beam equations, an inverse spectral problem arising in graph theory, and an inverse problem in underwater acoustics involving both discrete and continuous spectrum data.

**Organizer: Paul E. Sacks**

*Iowa State University*

**10:15 Reconstruction of a Radially Symmetric Potential from Two Spectral Sequences**
*William Rundell*, Texas A&M University; and Paul E. Sacks, Organizer
**10:45 Isospectral Sets of Fourth-Order Differential Operators**
- Peter Perry, University of Kentucky;
*Lester F. Caudill*, University of Richmond; and Albert Schueller, Whitman College
**11:15 Hill's Equation for a Regular Graph**
- Robert Carlson, University of Colorado, Colorado Springs
**11:45 Recovery of a Vertically Stratified Seabed in Shallow Water**
- Joyce R. McLaughlin and
*Shixiao Wang*, Rensselaer Polytechnic Institute

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*MMD, 4/20/98*