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

Alexander J. Zaslavski

ESAIM: Control, Optimisation and Calculus of Variations (2008)

  • Volume: 15, Issue: 4, page 872-894
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Zaslavski, Alexander J.. "Structure of approximate solutions of variational problems with extended-valued convex integrands." ESAIM: Control, Optimisation and Calculus of Variations 15.4 (2008): 872-894. <http://eudml.org/doc/90942>.

@article{Zaslavski2008,
abstract = { In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn×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. },
author = {Zaslavski, Alexander J.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Good function; infinite horizon; integrand; overtaking optimal function; turnpike property; approximate solutions; overtaking optimal function},
language = {eng},
month = {8},
number = {4},
pages = {872-894},
publisher = {EDP Sciences},
title = {Structure of approximate solutions of variational problems with extended-valued convex integrands},
url = {http://eudml.org/doc/90942},
volume = {15},
year = {2008},
}

TY - JOUR
AU - Zaslavski, Alexander J.
TI - Structure of approximate solutions of variational problems with extended-valued convex integrands
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2008/8//
PB - EDP Sciences
VL - 15
IS - 4
SP - 872
EP - 894
AB - In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn×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.
LA - eng
KW - Good function; infinite horizon; integrand; overtaking optimal function; turnpike property; approximate solutions; overtaking optimal function
UR - http://eudml.org/doc/90942
ER -

References

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