Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 3-14
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A. V. Gorshkov. Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 3-14. http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a0/
@article{VMUMM_2016_5_a0,
author = {A. V. Gorshkov},
title = {Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {3--14},
year = {2016},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a0/}
}
TY - JOUR
AU - A. V. Gorshkov
TI - Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2016
SP - 3
EP - 14
IS - 5
UR - http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a0/
LA - ru
ID - VMUMM_2016_5_a0
ER -
%0 Journal Article
%A A. V. Gorshkov
%T Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2016
%P 3-14
%N 5
%U http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a0/
%G ru
%F VMUMM_2016_5_a0
The problem of boundary control stabilization of the solution to the heat equation defined in the exterior of a sphere is studied in the paper. The boundary control function stabilizing the solution to zero with the rate $ 1/{t^k}$ is constructed for any $k>0$.