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Eurasian Mathematical Journal, 2011, Volume 2, Number 3, Pages 20–41 (Mi emj60)  
This article is cited in 7 scientific papers (total in 7 papers)

Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP

T. G. Ayelea, S. E. Mikhailovb

a Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia
b Department of Mathematical Science, Brunel University London, Uxbridge, UK
Full-text PDF (432 kB) Citations (7)
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Abstract: Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value problem for a second-order scalar elliptic differential equation with variable coefficients is reduced to several systems of Boundary Domain Integral Equations, briefly BDIEs. The two-operator BDIE system equivalence to the boundary value problem, BDIE solvability and the invertibility of the boundary-domain integral operators are proved in the appropriate Sobolev spaces.
Keywords and phrases: partial differential equations, variable coefficients, parametrix, boundary-domain integral equations, equivalence, unique solvability and invertibility.
Received: 07.03.2011
Bibliographic databases:
Document Type: Article
MSC: 35J25, 31B10, 45P05, 45A05, 47G10, 47G30, 47G40
Language: English
Citation: T. G. Ayele, S. E. Mikhailov, “Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP”, Eurasian Math. J., 2:3 (2011), 20–41
Citation in format AMSBIB
\Bibitem{AyeMik11}
\by T.~G.~Ayele, S.~E.~Mikhailov
\paper Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 3
\pages 20--41
\mathnet{http://mi.mathnet.ru/emj60}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910839}
\zmath{https://zbmath.org/?q=an:1272.47060}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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