A new Carleman inequality for parabolic systems with a single observation and applications
Assia Benabdallah, Michel Cristofol, Patricia Gaitan, Luz de Teresa · Comptes Rendus Mathématique · 2010
In this Note, we present Carleman estimates for linear reaction–diffusion–convection systems of two equations and linear reaction–diffusion systems of three equations. These estimates are the key for proving controllability results for semilinear reaction–diffusion–convection systems of order 2 and reaction–diffusion systems of order 3. They allow us to derive results for identification of n coefficients by ( n − 2 ) observations.