Structure of approximate solutions of variational problems with extended-valued convex integrands
Department of Mathematics, The Technion-Israel Institute of
Technology, 32000 Haifa, Israel.
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