Reflected dynamics: viscosity analysis for \(\mathbb{L}^\infty\) cost, relaxation and abstract dynamic programming
type: Item
instance of: scholarly article
title: Reflected dynamics: viscosity analysis for \(\mathbb{L}^\infty\) cost, relaxation and abstract dynamic programming
zbMATH Open document ID: 1468.49011
author: Dan Goreac
author: Hadjer Hechaichi
author: Oana Silvia Serea
published in: Journal of Differential Equations
publication date: 2021-06-18T00:00:00Z
review text: In this paper, under suitable hypotheses, the authors investigate an optimal control problem of minimizing the \(L^{\infty}\) norm for a Borel measureable objective function. More precisely, a viscosity characterization associated with the value function is provided. Also, some linear programming formulations of the considered control problem are established.
reviewed by: Savin Treanţă
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 7361022
zbMATH Keywords: dynamic programming
zbMATH Keywords: viscosity analysis
MaRDI profile type: Publication
full work available at URL: j.jde.2021.04.024
OpenAlex ID: W3162239996
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DOI: 10.1016/J.JDE.2021.04.024
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description: scientific article; zbMATH DE number 7361022