ON THE DIRICHLET PROBLEM TO ELLIPTIC EQUATION, THE ORDER OF WHICH DEGENERATES AT THE AXIS OF A CYLINDER | Zendy

S. Rutkauskas | Zendy

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ON THE DIRICHLET PROBLEM TO ELLIPTIC EQUATION, THE ORDER OF WHICH DEGENERATES AT THE AXIS OF A CYLINDER

Author(s) -

S. Rutkauskas

Publication year - 2017

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/13926292.2017.1362053

Subject(s) - degeneracy (biology) , uniqueness , dirichlet problem , mathematics , mathematical analysis , type (biology) , elliptic curve , cylinder , dirichlet distribution , line (geometry) , order (exchange) , pure mathematics , geometry , boundary value problem , geology , bioinformatics , finance , economics , biology , paleontology

In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axis of 3-dimensional cylinder, is considered. The statement of a Dirichlet type problem in the class of smooth functions is given and, subject to the type of degeneracy, the classical solutions are composed. The uniqueness of the solutions is proved and the continuity of the solutions on the line of degeneracy is discussed.

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