Contemporary Mathematics 2003; 215 pp; softcover Volume: 333 ISBN10: 0821833677 ISBN13: 9780821833674 List Price: US$69 Member Price: US$55.20 Order Code: CONM/333
 This volume presents the proceedings of a workshop on Inverse Problems and Applications and a special session on Inverse Boundary Problems and Applications. Inverse problems arise in practical situations, such as medical imaging, exploration geophysics, and nondestructive evaluation where measurements made in the exterior of a body are used to deduce properties of the hidden interior. A large class of inverse problems arise from a physical situation modeled by partial differential equations. The inverse problem is to determine some coefficients of the equation given some information about solutions. Analysis of such problems is a fertile area for interaction between pure and applied mathematics. This interplay is well represented in this volume where several theoretical and applied aspects of inverse problems are considered. The book includes articles on a broad range of inverse problems including the inverse conductivity problem, inverse problems for Maxwell's equations, time reversal mirrors, ultrasound using elastic pressure waves, inverse problems arising in the environment, inverse scattering for the threebody problem, and optical tomography. Also included are several articles on unique continuation and on the study of propagation of singularities for hyperbolic equations in anisotropic media. This volume is suitable for graduate students and research mathematicians interested in inverse problems and applications. Readership Graduate students and research mathematicians interested in inverse problems and applications. Table of Contents  G. Alessandrini, A. Morassi, and E. Rosset  Size estimates
 V. Bacchelli, C. D. Pagani, and F. Saleri  Uniqueness in the inverse conductivity problem for thin imperfections weakly or strongly conducting
 E. Beretta and E. Francini  Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of thin inhomogeneities
 L. Borcea, G. Papanicolaou, and C. Tsogka  A resolution study for imaging and time reversal in random media
 L. Escauriaza and S. Vessella  Optimal three cylinder inequalities for solutions to parabolic equations with Lipschitz leading coefficients
 M. Giudici  Some problems for the application of inverse techniques to environmental modeling
 V. Isakov, G. Nakamura, and J.N. Wang  Uniqueness and stability in the Cauchy problem for the elasticity system with residual stress
 L. Ji and J. McLaughlin  Using a Hankel function expansion to identify stiffness for the boundary impulse input experiment
 C. E. Kenig, G. Ponce, and L. Vega  On the uniqueness of solutions of higher order nonlinear dispersive equations
 Y. V. Kurylev, M. Lassas, and E. Somersalo  Reconstruction of a manifold from electromagnetic boundary measurements
 A. Lorenzi and E. Paparoni  Direct and inverse problems for secondorder integrodifferential operator equations in an unbounded time interval
 C. J. Nolan and G. Uhlmann  Geometrical optics for generic anisotropic materials
 M. Piana and M. Bertero  Linear approaches in microwave tomography
 A. Tamasan  Optical tomography in weakly anisotropic scattering media
 G. Uhlmann and A. Vasy  Inverse problems in threebody scattering
