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Eurasian Mathematical Journal, 2011, том 2, номер 3, страницы 20–41
(Mi emj60)
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Эта публикация цитируется в 7 научных статьях (всего в 7 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.
Поступила в редакцию: 07.03.2011
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj60 https://www.mathnet.ru/rus/emj/v2/i3/p20
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Страница аннотации: | 512 | PDF полного текста: | 164 | Список литературы: | 58 |
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