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Vladikavkazskii Matematicheskii Zhurnal, 2017, Volume 19, Number 3, Pages 51–58
(Mi vmj624)
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This article is cited in 3 scientific papers (total in 3 papers)
A boundary value problem for higher order elliptic equations in many connected domain on the plane
A. P. Soldatov National Research University "Belgorod State University"
Abstract:
For the elliptic equation of 2lth order with constant (and leading) coefficients boundary value a problem with normal derivatives of the (kj−1)−order, j=1,…,l considered. Here 1⩽k1<…<kl⩽2l. When kj=j it moves to the Dirichlet problem, and when kj=j+1 it corresponds to the Neumann problem. The sufficient condition of the Fredholm problem and index formula are given.
Key words:
elliptic equation, boundary value problem, normal derivatives, many connected domain, smooth contour, Fredholm property, index formula.
Received: 06.07.2017
Citation:
A. P. Soldatov, “A boundary value problem for higher order elliptic equations in many connected domain on the plane”, Vladikavkaz. Mat. Zh., 19:3 (2017), 51–58
Linking options:
https://www.mathnet.ru/eng/vmj624 https://www.mathnet.ru/eng/vmj/v19/i3/p51
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Abstract page: | 327 | Full-text PDF : | 100 | References: | 51 |
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