Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 73-79
Voir la notice de l'article provenant de la source Math-Net.Ru
In a three-dimentional Euclidean space we consider an elliptic equation with strong degeneration. We derive the first and the second Green formula. We also construct a fundamental solution to the equation and obtain an integral representation of its solution.
Keywords:
degenerate elliptic equations, fundamental solution, integral representation of the solution.
@article{IVM_2015_11_a6,
author = {G. Z. Khabibullina and S. V. Makletsov and R. M. Mavlyaviev},
title = {Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {73--79},
publisher = {mathdoc},
number = {11},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2015_11_a6/}
}
TY - JOUR AU - G. Z. Khabibullina AU - S. V. Makletsov AU - R. M. Mavlyaviev TI - Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2015 SP - 73 EP - 79 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2015_11_a6/ LA - ru ID - IVM_2015_11_a6 ER -
%0 Journal Article %A G. Z. Khabibullina %A S. V. Makletsov %A R. M. Mavlyaviev %T Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2015 %P 73-79 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2015_11_a6/ %G ru %F IVM_2015_11_a6
G. Z. Khabibullina; S. V. Makletsov; R. M. Mavlyaviev. Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 73-79. http://geodesic.mathdoc.fr/item/IVM_2015_11_a6/