Email this article Applying the potential method to solving main boundary-value problems for a degenerate elliptic equation
- Authors: Askhatov R.M.1, Abaydullin R.N.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 37, No 3 (2016)
- Pages: 333-341
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197824
- DOI: https://doi.org/10.1134/S1995080216030021
- ID: 197824
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Abstract
Fundamental solutions of a degenerate elliptic equation are found. Potentials of the double-layer type and single-layer type are constructed by means of fundamental solutions. Main boundary-value problems for a degenerate elliptic equation are reduced to equivalent Fredholm integral equations of the second kind. The solvability of the said integral equations is proved.
About the authors
R. M. Askhatov
Kazan Federal University
Author for correspondence.
Email: Radik.Ashatov@kpfu.ru
Russian Federation, Kazan, 420008
R. N. Abaydullin
Kazan Federal University
Author for correspondence.
Email: Ravil.Abaydullin@kpfu.ru
Russian Federation, Kazan, 420008
