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Structure of approximate solutions of variational problemswith extended-valued convexintegrands

Published online by Cambridge University Press:  20 August 2008

Alexander J. Zaslavski
Alexander J. Zaslavski*
Affiliation:
Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel. ajzasl@tx.technion.ac.il
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Abstract

In this work we study the structure of approximatesolutions of autonomous variational problems with a lowersemicontinuous strictly convex integrand f : Rn ×Rn $\to$ R 1 $\cup$ $\{\infty\}$ , where Rn is the n-dimensional Euclideanspace. We obtain a full description of the structure of theapproximate solutions which is independent of the length of theinterval, for all sufficiently large intervals.

Keywords

Good functioninfinite horizonintegrandovertakingoptimal functionturnpike property
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 4 , October 2009 , pp. 872 - 894
Copyright
© EDP Sciences, SMAI, 2008

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