Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
Optimization and Control
2019-01-23 v2
Abstract
In this paper we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term. We analyze the existence, uniqueness and regularity of pointwise strong solutions in a bidimensional domain. We prove the existence of an optimal solution and, using a Lagrange multipliers theorem, we derive first-order optimality conditions.
Cite
@article{arxiv.1806.10076,
title = {Optimal bilinear control problem related to a chemo-repulsion system in 2D domains},
author = {Francisco Guillén González and Exequiel Mallea-Zepeda and María Ángeles Rodríguez-Bellido},
journal= {arXiv preprint arXiv:1806.10076},
year = {2019}
}