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Issue ESAIM: COCV
Volume 15, Number 4, October-December 2009
Page(s) 872 - 894
DOI 10.1051/cocv:2008053
Published online 20 August 2008

ESAIM: COCV 15 (2009) 872-894
DOI: 10.1051/cocv:2008053

Structure of approximate solutions of variational problems with extended-valued convex integrands

Alexander J. Zaslavski

Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel. ajzasl@tx.technion.ac.il


Received June 6, 2007. Revised May 1st, 2008. Published online August 20, 2008.

Abstract
In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn$\times$Rn $\to$ R1$\cup$ $\{\infty\}$, where Rn is the n-dimensional Euclidean space. We obtain a full description of the structure of the approximate solutions which is independent of the length of the interval, for all sufficiently large intervals.


Mathematics Subject Classification. 49J99

Key words: Good function, infinite horizon, integrand, overtaking optimal function, turnpike property


© EDP Sciences, SMAI 2008


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