Carleman estimates for some anisotropic elasticity systems and applications

Carleman estimates for some elliptic systems

Global Carleman estimates for waves and applications

Abstract In this article, we extensively develop Carleman estimates for the wave equation and give some applications. We focus on the case of an observation of the flux on a part of the boundary satisfying the Gamma conditions of Lions. We will then consider two applications. The first one deals with the exact controllability problem for the wave equation with potential. Following the duality m...

Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress

Carleman Estimates and Null Controllability of Degenerate/singular Parabolic Systems

We study null controllability properties for parabolic coupled systems with degeneracy and singularity occurring in the interior of the spatial domain. This article is the first to consider a problem with singular coupling terms; previous result cannot be adapted to this situation. In particular, we focus on the well posedness of the problem and then we prove Carleman estimates for the associat...

Carleman estimates for anisotropic elliptic operators with jumps at an interface

We consider a second-order selfadjoint elliptic operator with an anisotropic diffusion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carleman estimate holds true. We moreover prove that the conditions imposed on the weight function are sharp.