Geodesic
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 Cet article a éte moissonné depuis la source Numdam

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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.

DOI : 10.1051/cocv:2008053
Classification : 49J99
Keywords: good function, infinite horizon, integrand, overtaking optimal function, turnpike property 
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     title = {Structure of approximate solutions of variational problems with extended-valued convex integrands},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {872--894},
     year = {2009},
     publisher = {EDP-Sciences},
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     number = {4},
     doi = {10.1051/cocv:2008053},
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     zbl = {1175.49002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008053/}
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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, Tome 15 (2009) no. 4, pp. 872-894. doi: 10.1051/cocv:2008053

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