Geodesic
Asymptotics of solutions of the Dirichlet problem in a~domain with a~truncated thin tube
Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 167-194

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

Asymptotic expansions (as $\varepsilon\to0$) of solutions of the Dirichlet problem are obtained for a strongly elliptic equation of order $2m$ in a subdomain of $\mathbf R^n$ minus an $\varepsilon$-neighborhood of a smooth submanifold, without boundary, of positive codimension. Bibliography: 18 titles. 
@article{SM_1983_44_2_a2,
     author = {V. G. Maz'ya and S. A. Nazarov and B. A. Plamenevskii},
     title = {Asymptotics of solutions of the {Dirichlet} problem in a~domain with a~truncated thin tube},
     journal = {Sbornik. Mathematics},
     pages = {167--194},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_44_2_a2/}
}
TY  - JOUR
AU  - V. G. Maz'ya
AU  - S. A. Nazarov
AU  - B. A. Plamenevskii
TI  - Asymptotics of solutions of the Dirichlet problem in a~domain with a~truncated thin tube
JO  - Sbornik. Mathematics
PY  - 1983
SP  - 167
EP  - 194
VL  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1983_44_2_a2/
LA  - en
ID  - SM_1983_44_2_a2
ER  - 
%0 Journal Article
%A V. G. Maz'ya
%A S. A. Nazarov
%A B. A. Plamenevskii
%T Asymptotics of solutions of the Dirichlet problem in a~domain with a~truncated thin tube
%J Sbornik. Mathematics
%D 1983
%P 167-194
%V 44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1983_44_2_a2/
%G en
%F SM_1983_44_2_a2
V. G. Maz'ya; S. A. Nazarov; B. A. Plamenevskii. Asymptotics of solutions of the Dirichlet problem in a~domain with a~truncated thin tube. Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 167-194. http://geodesic.mathdoc.fr/item/SM_1983_44_2_a2/