Geodesic
Ates of the~rate of stabilization of solutions of exterior mixed problems for a~class of evolution systems
Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 331-359

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

A study is made of the behavior for large time of solutions of the exterior mixed problem for the evolution system $$ u_{tt}+A(x,D_x)u=0, $$ where $A(x,D_x)$ is a strongly elliptic operator of order $2l$ ($ l\geqslant1$). Sharp estimates are obtained for certain weighted norms of the solutions as $t\to\infty$. 
@article{SM_1993_76_2_a5,
     author = {B. V. Kapitonov},
     title = {Ates of the~rate of stabilization of solutions of exterior mixed problems for a~class of evolution systems},
     journal = {Sbornik. Mathematics},
     pages = {331--359},
     publisher = {mathdoc},
     volume = {76},
     number = {2},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_76_2_a5/}
}
TY  - JOUR
AU  - B. V. Kapitonov
TI  - Ates of the~rate of stabilization of solutions of exterior mixed problems for a~class of evolution systems
JO  - Sbornik. Mathematics
PY  - 1993
SP  - 331
EP  - 359
VL  - 76
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1993_76_2_a5/
LA  - en
ID  - SM_1993_76_2_a5
ER  - 
%0 Journal Article
%A B. V. Kapitonov
%T Ates of the~rate of stabilization of solutions of exterior mixed problems for a~class of evolution systems
%J Sbornik. Mathematics
%D 1993
%P 331-359
%V 76
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1993_76_2_a5/
%G en
%F SM_1993_76_2_a5
B. V. Kapitonov. Ates of the~rate of stabilization of solutions of exterior mixed problems for a~class of evolution systems. Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 331-359. http://geodesic.mathdoc.fr/item/SM_1993_76_2_a5/