Carleman estimates and null controllability of degenerate/singular parabolic systems

Abstract

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 associated adjoint problem.

Keywords

• Carleman estimates
• singular degenerate equations
• coupled systems
• observability inequality
• null controllability