Holmgren problem for elliptic equation with singular coefficients

Holmgren problem for elliptic equation with singular coefficients

In the present work, we investigate the Holmgren problem for an multidimensional elliptic equation with several singular coefficients. We use a fundamental solution of the equation, containing Lauricella’s hypergeometric function in many variables. Then using an «abc» method, the uniqueness for the...

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Bibliographic Details
Main Authors: Ergashev, T.G., Hasanov, A.
Format: Article
Language:English
Published: KamGU by Vitus Bering 2020-11-01
Series:Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Subjects:
holmgren problem
multidimensional elliptic equations with several singular coefficients
decomposition formula
summation formula
lauricella hypergeometric function in many variables
green’s function
задача холмгрена
многомерные эллиптические уравнения с несколькими сингулярными коэффициентами
формула разложения
формула суммирования
гипергеометрическая функция лауричеллы от многих переменных
функция грина
Online Access:http://krasec.ru/ergashev323/

Internet

http://krasec.ru/ergashev323/

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