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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
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
Аннотация:
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.
Ключевые слова и фразы:
partial differential equations, variable coefficients, parametrix, boundary-domain integral equations, equivalence, unique solvability and invertibility.
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Тип публикации:
Статья
MSC: 35J25, 31B10, 45P05, 45A05, 47G10, 47G30, 47G40 Поступила в редакцию: 07.03.2011
Язык публикации: английский
Образец цитирования:
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
Цитирование в формате AMSBIB
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\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://www.ams.org/mathscinet-getitem?mr=2910839}
\zmath{https://zbmath.org/?q=an:1272.47060}
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http://mi.mathnet.ru/emj60 http://mi.mathnet.ru/rus/emj/v2/i3/p20
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
Эта публикация цитируется в следующих статьяx:
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Chkadua O., Mikhailov S.E., Natroshvili D., “Localized Boundary-Domain Singular Integral Equations Based on Harmonic Parametrix For Divergence-Form Elliptic Pdes With Variable Matrix Coefficients”, Integr. Equ. Oper. Theory, 76:4 (2013), 509–547
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Mikhailov S.E., “Analysis of Segregated Boundary-Domain Integral Equations For Bvps With Non-Smooth Coefficients on Lipschitz Domains”, Bound. Value Probl., 2018, 87
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Fresneda-Portillo C., “Boundary-Domain Integral Equations For the Diffusion Equation in Inhomogeneous Media Based on a New Family of Parametrices”, Complex Var. Elliptic Equ., 65:4 (2020), 558–572
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