Controllability of a system of non-autonomous degenerate coupled parabolic equations
Analysis of PDEs
2025-08-26 v1
Abstract
We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the diffusion term. Then we use the estimate to show the null controllability of a coupled system characterized by this form of diffusion operator and bounded coefficients.
Keywords
Cite
@article{arxiv.2508.17546,
title = {Controllability of a system of non-autonomous degenerate coupled parabolic equations},
author = {Alfredo S. Gamboa and Juan Limaco and Luis P. Yapu},
journal= {arXiv preprint arXiv:2508.17546},
year = {2025}
}