Observability inequalities on measurable sets for the Stokes system and applications
Optimization and Control
2017-08-25 v1
Abstract
In this paper, we establish spectral inequalities on measurable sets of positive Lebesgue measure for the Stokes operator, as well as an observability inequalities on space-time measurable sets of positive measure for non-stationary Stokes system. Furthermore, we provide their applications in the theory of shape optimization and time optimal control problems.
Keywords
Cite
@article{arxiv.1708.07165,
title = {Observability inequalities on measurable sets for the Stokes system and applications},
author = {Felipe W. Chaves-Silva and Diego A. Souza and Can Zhang},
journal= {arXiv preprint arXiv:1708.07165},
year = {2017}
}