KFU. Card publication. Integral representation of a solution to three-dimensional elliptic equation with strong degeneration

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FEDERAL UNIVERSITY

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INTEGRAL REPRESENTATION OF A SOLUTION TO THREE-DIMENSIONAL ELLIPTIC EQUATION WITH STRONG DEGENERATION

Form of presentation

Articles in Russian journals and collections

Year of publication

2015

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Authors, employees of KFU

Mavlyaviev Rinat Mizkhatovich, author

Maklecov Sergey Vladislavovich, author

Khabibullina Guzel Zabirovna, author

Bibliographic description in the original language

G. Z. Khabibullina, S. V. Makletsov, R. M. Mavlyaviev, Integral Representation of a Solution to Three-Dimensional Elliptic Equation with Strong Degeneration, Russian Mathematics (Iz. VUZ), 2015, Vol. 59, No. 11, pp. 62–67. DOI: 10.3103/S1066369X15110079 (SCOPUS)

Annotation

In a three-dimensional 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

The name of the journal

Russian Mathematics (Iz VUZ)

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=115296&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Mavlyaviev Rinat Mizkhatovich	ru_RU
dc.contributor.author	Maklecov Sergey Vladislavovich	ru_RU
dc.contributor.author	Khabibullina Guzel Zabirovna	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	G. Z. Khabibullina, S. V. Makletsov, R. M. Mavlyaviev, Integral Representation of a Solution to Three-Dimensional Elliptic Equation with Strong Degeneration, Russian Mathematics (Iz. VUZ), 2015, Vol. 59, No. 11, pp. 62–67. DOI: 10.3103/S1066369X15110079 (SCOPUS)	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=115296&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics (Iz VUZ)	ru_RU
dc.description.abstract	In a three-dimensional 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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	degenerate elliptic equations	ru_RU
dc.subject	fundamental solution	ru_RU
dc.subject	integral representation of the solution	ru_RU
dc.title	Integral representation of a solution to three-dimensional elliptic equation with strong degeneration	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU