Polarization and Moment Tensors

Layer Potentials and Transmission Problems.- Uniqueness for Inverse Conductivity Problems.- Generalized Isotropic and Anisotropic Polarization Tensors.- Full Asymptotic Formula for the Potentials.- Near-Boundary Conductivity Inclusions.- Impedance Imaging of Conductivity Inclusions.- Effective Properties of Electrical Composites.- Transmission Problem for Elastostatics.- Elastic Moment Tensor.- Full Asymptotic Expansions of the Displacement Field.- Imaging of Elastic Inclusions.- Effective Properties of Elastic Composites.

From the reviews:"The main purpose of the book is to assess the influence of small-volume buried inclusions on measurements performed at the boundary of a domain of interest. … This self-contained book will serve as an excellent reference for any mathematician interested in the reconstruction of constitutive parameters in a differential equation from boundary measurements." (Guillaume Bal, Mathematical Reviews, Issue 2009 f)“The present book deals with one of the most interesting topics in the theory of inverse problems … . any chapter of the volume contains an interesting section devoted to ‘Further results and open problems’. … the volume is extremely well-written and organized, as well as (reasonably) self-contained, so that any reader with a good knowledge in elliptic PDE’s and interest in inverse problems will enjoy it … .” (Alfredo Lorenzi, Zentralblatt MATH, Vol. 1220, 2011)