Structure of approximate solutions of variational problems with extended-valued convex integrands
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 872-894.

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}$ $\to$ ${R}^{1}$$\cup$ $\left\{\infty \right\}$, 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.

DOI : https://doi.org/10.1051/cocv:2008053
Classification : 49J99
Mots clés : good function, infinite horizon, integrand, overtaking optimal function, turnpike property
@article{COCV_2009__15_4_872_0,
author = {Zaslavski, Alexander J.},
title = {Structure of approximate solutions of variational problems with extended-valued convex integrands},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {872--894},
publisher = {EDP-Sciences},
volume = {15},
number = {4},
year = {2009},
doi = {10.1051/cocv:2008053},
zbl = {1175.49002},
mrnumber = {2567250},
language = {en},
url = {http://www.numdam.org/item/COCV_2009__15_4_872_0/}
}
Zaslavski, Alexander J. Structure of approximate solutions of variational problems with extended-valued convex integrands. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 4, pp. 872-894. doi : 10.1051/cocv:2008053. http://www.numdam.org/item/COCV_2009__15_4_872_0/

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