Displaying similar documents to “Carleman estimates for the non-stationary Lamé system and the application to an inverse problem”

A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction

Yves Capdeboscq, Michael S. Vogelius (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Similarity:

We establish an asymptotic representation formula for the steady state voltage perturbations caused by low volume fraction internal conductivity inhomogeneities. This formula generalizes and unifies earlier formulas derived for special geometries and distributions of inhomogeneities.

About stability and regularization of ill-posed elliptic Cauchy problems: the case of domains

Laurent Bourgeois (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems for the Laplace's equation in domains with boundary. It is an extension of an earlier result of [Phung, (2003) 621–635] for domains of class . Our estimate is established by using a Carleman estimate near the boundary in which the exponential weight depends on the distance function to the boundary. Furthermore, we prove that this stability...