Null controllability for a degenerate population equation with memory
Analysis of PDEs
2021-03-29 v1
Abstract
In this paper we consider the null controllability for a population model depending on time, on space and on age. Moreover, the diffusion coefficient degenerate at the boundary of the space domain. The novelty of this paper is that for the first time we consider the presence of a memory term, which makes the computations more difficult. However, under a suitable condition on the kernel we deduce a null controllability result for the original problem via new Carleman estimates for the adjoint problem associated to a suitable nonhomogeneous parabolic equation.
Keywords
Cite
@article{arxiv.2103.14059,
title = {Null controllability for a degenerate population equation with memory},
author = {B. Allal and G. Fragnelli and J. Salhi},
journal= {arXiv preprint arXiv:2103.14059},
year = {2021}
}