Calculus of Variations and Geometric Measure Theory
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A. Briani - H. Zidani

Characterisation of the value function of final state constrained control problems with BV trajectories

created by briani on 16 Nov 2009
modified on 25 Jul 2011

[BibTeX]

Published Paper

Inserted: 16 nov 2009
Last Updated: 25 jul 2011

Journal: Communication in Pure and Applied Analysis (CPAA)
Volume: 10
Number: 6
Pages: 1567-1587
Year: 2011

Abstract:

This paper aims to investigate a control problem governed by differential equations with Random measure as data and with final state constraints. By using a known reparametrization method (by Dal Maso and Rampazzo), we obtain that the value function can be characterized by means of an auxiliary control problem involving absolutely continuous trajectories. We study the characterization of the value function of this auxiliary problem and discuss its discrete approximations.


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