The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book has grown out of lecture notes for a course on mathematical methods in
biomedical imaging at Ecole Polytechnique. Biomedical imaging is a fascinating research …

Since the early part of the twentieth century, the use of integral equations has developed into
a range of tools for the study of partial differential equations. This includes the use of single …

Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients Page 1
Digital Object Identifier (DOI) 10.1007/s00205-014-0779-0 Arch. Rational Mech. Anal. 215 …

Gradient estimates for solutions of the Lamé system with partially infinite coefficients in
dimensions greater than two - ScienceDirect Skip to main contentSkip to article Elsevier logo …

This paper concerns the reconstruction of possibly complex‐valued coefficients in a second‐
order scalar elliptic equation that is posed on a bounded domain from knowledge of several …

This paper reviews recent progress on imaging by generalized polarization tensors (GPTs),
enhancement of near-cloaking by GPT-vanishing structures, cloaking by anomalous …

In composite materials, the inclusions are frequently spaced very closely. The electric field
concentrated in the narrow regions between two adjacent perfectly conducting inclusions …

In this paper we consider the problem of reconstructing sources in a homogeneous
viscoelastic medium from wavefield measurements. We first present a modified time-reversal …

Two series of mixed alkali borosilicate glasses have been studied (Na/K and Na/Li) in order
to examine the mixed alkali effect influence on the structure evolution of β-irradiated glasses …