Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system

Abstract

This paper studies a problem of boundary observability for a coupled system of parabolic-hyperbolic type. First, we prove some Carleman estimates with singular weights for the heat and for the wave equations. Then we combine these results to obtain an observability result for the system. We conclude with a discussion about operators with constant coefficients.

Keywords

• Carleman estimates
• observability
• thermo-elasticity.