Geodesic
Investigation of singularly perturbed and irregularly degenerate elliptic problems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 105-114.

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

Using two elliptic problems as examples, we show that the method of regularization of singular perturbations developed for constructing regularized asymptotic solutions of singularly perturbed equations can be successfully applied to constructing solutions of irregularly degenerate elliptic problems.
Mots-clés : singular perturbation
Keywords: spectrum, degenerate elliptic equation, small parameter, asymptotic series. 
@article{INTO_2021_191_a9,
     author = {I. S. Lomov},
     title = {Investigation of singularly perturbed and irregularly degenerate elliptic problems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {105--114},
     publisher = {mathdoc},
     volume = {191},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_191_a9/}
}
TY  - JOUR
AU  - I. S. Lomov
TI  - Investigation of singularly perturbed and irregularly degenerate elliptic problems
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2021
SP  - 105
EP  - 114
VL  - 191
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2021_191_a9/
LA  - ru
ID  - INTO_2021_191_a9
ER  - 
%0 Journal Article
%A I. S. Lomov
%T Investigation of singularly perturbed and irregularly degenerate elliptic problems
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2021
%P 105-114
%V 191
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2021_191_a9/
%G ru
%F INTO_2021_191_a9
I. S. Lomov. Investigation of singularly perturbed and irregularly degenerate elliptic problems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 105-114. http://geodesic.mathdoc.fr/item/INTO_2021_191_a9/

[3] Emelyanov D. P., Lomov I. S., “Postroenie tochnykh reshenii neregulyarno vyrozhdayuschikhsya ellipticheskikh uravnenii s analiticheskimi koeffitsientami”, Differ. uravn., 55:1 (2019), 45–58

[4] Lomov S. A., Vvedenie v obschuyu teoriyu singulyarnykh vozmuschenii, Nauka, M., 1981

[5] Lomov S. A., Lomov I. S., Osnovy matematicheskoi teorii pogranichnogo sloya, Izd-vo MGU, M., 2011