CAPDEBOSCQ , Yves

No description

The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equations with anisotropic complex coefficients, in a bounded domain with C1,1 boundary. We assume that at least one of the material parameters is W1,p for some p > 3. Using regularity theory for second order elliptic partial differential equations,...

In recent years, several new imaging modalities have been developed in order to be able to detect physical parameters simultaneously at a high spatial resolution and with a high sensitivity to contrast. These new approaches typically rely on the interaction of two physical imaging methods, and the corresponding mathematical models are the...

This paper addresses enforcing non-vanishing constraints for solutions to a 2nd-order elliptic partial differential equation by appropriate choices of boundary conditions. We show that, in dimension d >= 2, under suitable regularity assumptions, the family of 2d solutions such that their Jacobian has maximal rank in the domain is both open and...

Dans cet exposé, nous présentons quelques résultats récents concernant certains problèmes d'identification de paramètres de type hybride, aussi appelés multi-physiques, pour lesquels le modèles physique sous-jacent est une équation aux dérivées partielles elliptique.

In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the context of observability inequalities for the linear wave equation. We study the main properties of the randomised stability constant and discuss the implications for...