Dirichlet problem with degeneration of the input data on the boundary of the domain
- Authors: Rukavishnikov V.A.1, Rukavishnikova E.I.1
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Affiliations:
- Computing Center
- Issue: Vol 52, No 5 (2016)
- Pages: 681-685
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/153838
- DOI: https://doi.org/10.1134/S0012266116050141
- ID: 153838
Cite item
Abstract
We define an R?-generalized solution of the first boundary value problem for a second-order elliptic equation with degeneration of the input data on the entire boundary of the two-dimensional domain and prove the existence and uniqueness of the solution in the weighted set .
About the authors
V. A. Rukavishnikov
Computing Center
Author for correspondence.
Email: vark@mail.redcom.ru
Russian Federation, Khabarovsk
E. I. Rukavishnikova
Computing Center
Email: vark@mail.redcom.ru
Russian Federation, Khabarovsk
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