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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

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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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