No-regret and low-regret controls of space-time fractional parabolic Sturm-Liouville equations in a star graph

Autor:	Mophou, G., Moutamal, M., Warma, M.
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We are concerned with a space-time fractional parabolic initial-boundary value problem of Sturm Liouville type in a general star graph with mixed Dirichlet and Neumann boundary controls. We first give several existence, uniqueness and regularity results of weak and very-weak solutions. Using the notion of no-regret control introduced by Lions, we prove the existence, uniqueness, and characterize the low regret control of a quadratic boundary optimal control problem, then we prove that this low regret control converges to the no-regret control and we provide the associated optimality systems and conditions that characterize that no-regret control. Comment: arXiv admin note: text overlap with arXiv:2105.01720
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.13978 Zobrazit plný text záznamu View this record from Arxiv