Geodesic
Approximation of a~singularly perturbed elliptic problem of optimal control
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1421-1431

Voir la notice de l'article provenant de la source Math-Net.Ru

A problem of optimal control of solutions of an elliptic equation with a small parameter at higher derivatives is considered in a rectangle with two sides parallel to the characteristic of the limit equation. The limit problem is found and asymptotic estimates for solutions of a problem that approximates the original problem are obtained. 
@article{SM_2000_191_10_a0,
     author = {A. R. Danilin},
     title = {Approximation of a~singularly perturbed elliptic problem of optimal control},
     journal = {Sbornik. Mathematics},
     pages = {1421--1431},
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     volume = {191},
     number = {10},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_10_a0/}
}
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A. R. Danilin. Approximation of a~singularly perturbed elliptic problem of optimal control. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1421-1431. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a0/