| Issue |
ESAIM: COCV
Volume 15, Number 4, October-December 2009
|
|
|---|---|---|
| Page(s) | 872 - 894 | |
| DOI | https://doi.org/10.1051/cocv:2008053 | |
| Published online | 20 August 2008 | |
Structure of approximate solutions of variational problems with extended-valued convex integrands
Department of Mathematics, The Technion-Israel Institute of
Technology, 32000 Haifa, Israel.
ajzasl@tx.technion.ac.il
Received:
6
June
2007
Revised:
1
May
2008
In this work we study the structure of approximate
solutions of autonomous variational problems with a lower
semicontinuous strictly convex integrand f : Rn×Rn 
R1
, 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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