Optimal control in infinite horizon problems: a Sobolev space approach

Cuong Le Van (), Raouf Boucekkine () and Çağrı Sağlam
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Cuong Le Van: CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain

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Abstract: In this paper, we make use of the Sobolev space W1,1(R+, Rn) to derive at once the Pontryagin conditions for the standard optimal growth model in continuous time, including a necessary and sufficient transversality condition. An application to the Ramsey model is given. We use an order ideal argument to solve the problem inherent to the fact that L1 spaces have natural positive cones with no interior points.

Keywords: Optimal control; Sobolev spaces; transversality conditions; order ideal; condition de transversalité; l'idéal pour l'ordre; espaces de Sobolev; Contrôle optimal (search for similar items in EconPapers)
Date: 2005-09
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00197546v1
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Citations: View citations in EconPapers (2)

Published in 2005

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Related works:
Journal Article: Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach (2007)
Working Paper: Optimal control in infinite horizon problems: A Sobolev space approach (2007)
Working Paper: Optimal control in infinite horizon problems: a Sobolev spaces approach (2007)
Working Paper: Optimal control in infinite horizon problems: a Sobolev spaces approach (2007)
Working Paper: Optimal control in infinite horizon problems: a Sobolev space approach (2005)
Working Paper: Optimal control in infinite horizon problems: a Sobolev space approach (2005)
Working Paper: Optimal control in infinite horizon problems: A Sobolev space approach (2004)
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