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

Alexander J. Zaslavski

ESAIM: Control, Optimisation and Calculus of Variations (2009)

  • 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 : R n × R n → R 1 ∪ { ∞ } , where R n 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 (2009): 872-894. <http://eudml.org/doc/244724>.

@article{Zaslavski2009,
abstract = {In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand $f$ : $R^n$$\times $$R^n$$\rightarrow $$R^1$$\cup $$\lbrace \infty \rbrace $, where $R^n$ 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},
language = {eng},
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/244724},
volume = {15},
year = {2009},
}

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
PY - 2009
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 $f$ : $R^n$$\times $$R^n$$\rightarrow $$R^1$$\cup $$\lbrace \infty \rbrace $, where $R^n$ 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
UR - http://eudml.org/doc/244724
ER -

References

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