2 papers
math.OC2012
Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and application to controllability
Thuy Nguyen
In the discrete setting of one-dimensional finite-differences we prove a Carleman estimate for a semi-discretization of the parabolic operator …
math.OC2011
The uniform controllability property of semidiscrete approximations for the parabolic distributed parameter systems in Banach spaces
Thuy Nguyen
The problem we consider in this work is to minimize the L^q-norm (q > 2) of the semidiscrete controls. As shown in [LT06], under the main approximation assumptions that the discret…