Stable Dirichlet observability and controllability for the evolution isotropic Lame system with variable coefficients

Article type: Research Article

Authors: Łada, Andrzej | Sidz, Leszek^;

Affiliations: Institute of Mathematics and Physics, University of Technology and Agriculture, 85‐796 Bydgoszcz, ul. Kaliskiego 7, Poland E‐mail: [email protected] | Institute of Applied Mathematics and Mechanic, Warsaw University, ul. Banacha 2, 02‐970 Warszawa, Poland E‐mail: [email protected]

Note: [] Corresponding author.

Abstract: The stable Dirichlet observability and exact controllability from boundary for evolution, variable coefficients Lamé system is stated. The observability is proved first for a special sequence of solutions by the use of semiclassical measure analysis. Then one concept coming from G. Lebeau is applied. The controllability is achieved by the use of H.U.M.

Keywords: stable observability from a boundary, controllability, semiclassical measures, elasticity system

Journal: Asymptotic Analysis, vol. 36, no. 2, pp. 149-168, 2003