On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 1, pp. 5-15
Boundary value problems for the system of linear elasticity with rapidly alternating boundary conditions are studied and asymptotic behavior of solutions is considered when a small parameter, which defines the oscillation of the boundary conditions, tends to zero. Estimates for the difference between such solutions and solutions of the limit problem are given.
@article{RLIN_1996_9_7_1_a0,
author = {Oleinik, Olga A. and Chechkin, Gregory},
title = {On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {5--15},
year = {1996},
volume = {Ser. 9, 7},
number = {1},
zbl = {0876.35012},
mrnumber = {MR1437647},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_1_a0/}
}
TY - JOUR AU - Oleinik, Olga A. AU - Chechkin, Gregory TI - On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 1996 SP - 5 EP - 15 VL - 7 IS - 1 UR - http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_1_a0/ LA - en ID - RLIN_1996_9_7_1_a0 ER -
%0 Journal Article %A Oleinik, Olga A. %A Chechkin, Gregory %T On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1996 %P 5-15 %V 7 %N 1 %U http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_1_a0/ %G en %F RLIN_1996_9_7_1_a0
Oleinik, Olga A.; Chechkin, Gregory. On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 7 (1996) no. 1, pp. 5-15. http://geodesic.mathdoc.fr/item/RLIN_1996_9_7_1_a0/