On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary

The existence and uniqueness of the Rv-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.

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Main Authors: V. Rukavishnikov, E. Rukavishnikova
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/568726
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author V. Rukavishnikov
E. Rukavishnikova
author_facet V. Rukavishnikov
E. Rukavishnikova
author_sort V. Rukavishnikov
collection DOAJ
description The existence and uniqueness of the Rv-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-0220e85ffd804ceea8b04bb54442e0192025-02-03T01:10:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/568726568726On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All BoundaryV. Rukavishnikov0E. Rukavishnikova1Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Kim-Yu-Chen Street 65, Khabarovsk 680000, RussiaComputing Center of Far-Eastern Branch, Russian Academy of Sciences, Kim-Yu-Chen Street 65, Khabarovsk 680000, RussiaThe existence and uniqueness of the Rv-generalized solution for the first boundary value problem and a second order elliptic equation with coordinated and uncoordinated degeneracy of input data and with strong singularity solution on all boundary of a two-dimensional domain are established.http://dx.doi.org/10.1155/2014/568726
spellingShingle V. Rukavishnikov
E. Rukavishnikova
On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary
Abstract and Applied Analysis
title On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary
title_full On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary
title_fullStr On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary
title_full_unstemmed On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary
title_short On the Existence and Uniqueness of Rv-Generalized Solution for Dirichlet Problem with Singularity on All Boundary
title_sort on the existence and uniqueness of rv generalized solution for dirichlet problem with singularity on all boundary
url http://dx.doi.org/10.1155/2014/568726
work_keys_str_mv AT vrukavishnikov ontheexistenceanduniquenessofrvgeneralizedsolutionfordirichletproblemwithsingularityonallboundary
AT erukavishnikova ontheexistenceanduniquenessofrvgeneralizedsolutionfordirichletproblemwithsingularityonallboundary