Matematičeskie zametki, Tome 4 (1968) no. 4, pp. 425-434
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N. A. Ivanova. Fundamental solutions of linear elliptic equations containing a small parameter. Matematičeskie zametki, Tome 4 (1968) no. 4, pp. 425-434. http://geodesic.mathdoc.fr/item/MZM_1968_4_4_a5/
@article{MZM_1968_4_4_a5,
author = {N. A. Ivanova},
title = {Fundamental solutions of linear elliptic equations containing a small parameter},
journal = {Matemati\v{c}eskie zametki},
pages = {425--434},
year = {1968},
volume = {4},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_4_a5/}
}
TY - JOUR
AU - N. A. Ivanova
TI - Fundamental solutions of linear elliptic equations containing a small parameter
JO - Matematičeskie zametki
PY - 1968
SP - 425
EP - 434
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1968_4_4_a5/
LA - ru
ID - MZM_1968_4_4_a5
ER -
%0 Journal Article
%A N. A. Ivanova
%T Fundamental solutions of linear elliptic equations containing a small parameter
%J Matematičeskie zametki
%D 1968
%P 425-434
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_4_a5/
%G ru
%F MZM_1968_4_4_a5
The author considers a linear elliptic equation with constant coefficients and a small parameter in the leading terms. The method of plane waves is used to construct a family of fundamental solutions for this equation, for which a theorem on its asymptotic expansion is proved.