Optimal bilinear control problem related to a chemo-repulsion system in 2D domains

Autor:	González, Francisco Guillén, Mallea-Zepeda, Exequiel, Rodríguez-Bellido, María Ángeles
Rok vydání:	2018
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.10076 Zobrazit plný text záznamu View this record from Arxiv