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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 1, Pages 81–89
(Mi basm306)
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On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions
Nicolae Jitaraşu Faculty of Mathematics and Informatics, State University of Moldova, Chişinău, Moldova
Abstract:
In the work the asymptotic representation of singular solution of the elliptic model Sobolev problem near components of arbitrary dimensions of boundary is specified. Using this asymptotical representation of solutions, the singular boundary conditions are formulated. The solvability of boundary problem with singular boundary conditions is proved.
Keywords and phrases:
Sobolev boundary problem, asymptotic representation of singular solutions, singular boundary conditions.
Received: 11.11.2011
Citation:
Nicolae Jitaraşu, “On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 1, 81–89
Linking options:
https://www.mathnet.ru/eng/basm306 https://www.mathnet.ru/eng/basm/y2012/i1/p81
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Abstract page: | 214 | Full-text PDF : | 35 | References: | 30 | First page: | 1 |
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