In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application to null controllability on a measurable set in time for the degenerated heat equation is described.
@article{arxiv.2309.15491,
title = {An optimal spectral inequality for degenerate operators},
author = {Rémi Buffe and Kim Dang Phung and Amine Slimani},
journal= {arXiv preprint arXiv:2309.15491},
year = {2023}
}