Geometric Methods in Inverse Problems and PDE Control

Foreword * Preface * On the construction of isospectral manifolds, Werner Ballman * Statistical stability and time-reversal imaging in random media, James G. Berryman, Liliana Borcea, George C. Papanicolaou, and Chrysoul Tsogka * A review of selected works on crack identification, Kurt Bryan and Michael S. Vogelius * Rigidity theorems in Riemannian geometry, Christopher B. Croke * The case for differential geometry in the control of single and coupled PDEs: the structural acoustic chamber, R. Gulliver, I. Lasiecka, W. Littman, and R. Triggiani * Energy measurements and equivalence of boundary data for inverse problems on non-compact manifolds, A. Katchalov, Y. Kurylev, and M. Lassas * Ray transform and some rigidity problems for Riemannian metrics, Vladimir Sharafutdinov * Unique continuation problems for partial differential equations, Daniel Tataru * Remarks on Fourier integral operators , Michael Taylor * The Cauchy data and the scattering relation, Gunther Uhlmann * Inverse resonance problem for Z2-symmetric analytic obstacles in the plane, Steve Zelditch * List of workshop participants