Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and application to controllability
Optimization and Control
2012-11-12 v1 Analysis of PDEs
Abstract
In the discrete setting of one-dimensional finite-differences we prove a Carleman estimate for a semi-discretization of the parabolic operator where the diffusion coefficient has a jump. As a consequence of this Carleman estimate, we deduce consistent null-controllability results for classes of semi-linear parabolic equations.
Keywords
Cite
@article{arxiv.1211.2061,
title = {Carleman estimates for semi-discrete parabolic operators with a discontinuous diffusion coefficient and application to controllability},
author = {Thuy Nguyen},
journal= {arXiv preprint arXiv:1211.2061},
year = {2012}
}