Geodesic
Elliptic Boundary Value Problems in Hybrid Domains
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 4, pp. 55-72

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

We derive asymptotic transmission conditions at points where segments are attached to a three-dimensional body. These conditions result in a formally self-adjoint problem on a hybrid set with properties similar to those of standard boundary value problems. In particular, the problem has a zero index and possesses a variational statement. If the systems of differential equations have a special form, then the operator of the problem is realized as a self-adjoint extension of the “decoupled” operators of the problems on the body and the segments. From this viewpoint, we interpret the results of asymptotic analysis of coupled thin and solid bodies.
Mots-clés : hybrid domain, transmission conditions at points
Keywords: generalized Green formula, self-adjoint extension. 
@article{FAA_2004_38_4_a5,
     author = {S. A. Nazarov},
     title = {Elliptic {Boundary} {Value} {Problems} in {Hybrid} {Domains}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {55--72},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a5/}
}
TY  - JOUR
AU  - S. A. Nazarov
TI  - Elliptic Boundary Value Problems in Hybrid Domains
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2004
SP  - 55
EP  - 72
VL  - 38
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a5/
LA  - ru
ID  - FAA_2004_38_4_a5
ER  - 
%0 Journal Article
%A S. A. Nazarov
%T Elliptic Boundary Value Problems in Hybrid Domains
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2004
%P 55-72
%V 38
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a5/
%G ru
%F FAA_2004_38_4_a5
S. A. Nazarov. Elliptic Boundary Value Problems in Hybrid Domains. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 4, pp. 55-72. http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a5/