The focus of this work is on rigorous mathematical analysis of the topological derivative based detection algorithms for the localization of an elastic inclusion of vanishing characteristic size. A filtered quadratic misfit is considered and the performance of the topological derivative imaging functional resulting therefrom is analyzed. Our analysis reveals that the image functional may not at...

where f, g : I × → are given functions, λ ∈ (0, 1]. The study of quadratic integral equation has received much attention over the last thirty years or so. For instance, Cahlon and Eskin [1] prove the existence of positive solutions in the space C[0, 1] and Cα[0, 1] of an integral equation of the Chandrasekhar H-equation with perturbation. Argyros [2] investigates a class of quadratic equations ...

background: the over-expression of recombinant proteins in large amount is important for production of therapeutic proteins and structural study. there are several systems for expression of recombinant proteins. one of the most relevant expression systems is escherichia coli (e. coli). although this organism has many advantages, most of recombinant proteins expressed in e. coli hosts form inclu...