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

作者:Benabdallah Assia*; Cristofol Michel; Gaitan Patricia; de Teresa Luz
来源:Comptes Rendus Mathematique, 2010, 348(1-2): 25-29.
DOI:10.1016/j.crma.2009.11.001

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.

  • 出版日期2010-1