Asymptotic expansion of a~solution to the problem of optimal control of a~bounded flow at a~boundary
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 115-120
Voir la notice de l'article provenant de la source Math-Net.Ru
A problem of optimal control of solutions to an elliptic-type equation with a small coefficient at the Laplace operator and integral constraints on the control is considered in a bounded domain with smooth boundary. The control is effected by a bounded flow through the boundary. A complete asymptotic expansion of a solution to this problem in powers of the small parameter is obtained.
Keywords:
optimal control, elliptic-type differential equation, asymptotic estimates.
@article{TIMM_2013_19_1_a10,
author = {A. P. Zorin},
title = {Asymptotic expansion of a~solution to the problem of optimal control of a~bounded flow at a~boundary},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {115--120},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a10/}
}
TY - JOUR AU - A. P. Zorin TI - Asymptotic expansion of a~solution to the problem of optimal control of a~bounded flow at a~boundary JO - Trudy Instituta matematiki i mehaniki PY - 2013 SP - 115 EP - 120 VL - 19 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a10/ LA - ru ID - TIMM_2013_19_1_a10 ER -
%0 Journal Article %A A. P. Zorin %T Asymptotic expansion of a~solution to the problem of optimal control of a~bounded flow at a~boundary %J Trudy Instituta matematiki i mehaniki %D 2013 %P 115-120 %V 19 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a10/ %G ru %F TIMM_2013_19_1_a10
A. P. Zorin. Asymptotic expansion of a~solution to the problem of optimal control of a~bounded flow at a~boundary. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 115-120. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a10/