A new Carleman inequality for parabolic systems with a single observation and applications

摘要

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.