Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 250 (2005), pp. 54-63.

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

A singularly perturbed elliptic boundary value problem is considered. In a number of critical cases, an algorithm for constructing the asymptotics of a solution is described and theorems on the asymptotic expansion are proved.
@article{TM_2005_250_a1,
     author = {S. A. Golopuz},
     title = {Asymptotic {Expansion} of {Solutions} to {Elliptic} {Boundary} {Value} {Problems} in {Certain} {Critical} {Cases}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {54--63},
     publisher = {mathdoc},
     volume = {250},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2005_250_a1/}
}
TY  - JOUR
AU  - S. A. Golopuz
TI  - Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2005
SP  - 54
EP  - 63
VL  - 250
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2005_250_a1/
LA  - ru
ID  - TM_2005_250_a1
ER  - 
%0 Journal Article
%A S. A. Golopuz
%T Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2005
%P 54-63
%V 250
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2005_250_a1/
%G ru
%F TM_2005_250_a1
S. A. Golopuz. Asymptotic Expansion of Solutions to Elliptic Boundary Value Problems in Certain Critical Cases. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 250 (2005), pp. 54-63. http://geodesic.mathdoc.fr/item/TM_2005_250_a1/

[1] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, T. 1, Mir, M., 1971 | Zbl

[2] Vishik M. I., Lyusternik L. A., “Regulyarnoe vyrozhdenie i pogranichnyi sloi dlya lineinykh differentsialnykh uravnenii s malym parametrom”, UMN, 12:5 (1957), 3–122 | MR | Zbl

[3] Lin Zong-chi, “Asymptotic expression of the solution of general boundary value problem for higher order elliptic equation with perturbation both in boundary and in operator”, Appl. Math. and Mech., 3:1 (1982), 33–47, Engl. Ed. | DOI | MR | Zbl

[4] Golopuz S. A., “Opredelyayuschie granichnye usloviya i vyrozhdennaya zadacha dlya ellipticheskikh kraevykh zadach s malym parametrom pri starshikh proizvodnykh”, Mat. sb., 194:5 (2003), 3–30 | MR | Zbl