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This article is cited in 13 scientific papers (total in 13 papers)
On the spectrum of the operator pencil generated by the Dirichlet problem in a cone
V. A. Kozlov, V. G. Maz'ya
Abstract:
The operator pencil whose eigenvalues determine singularities of solutions to the Dirichlet problem at the vertex of a cone is studied. First the Dirichlet–Sobolev problem with data on the ray is considered, and the eigenvalues and eigenfunctions of the corresponding operator pencil are described. Then this information is used to show that the result of [2] is best possible in a sense.
Received: 08.02.1990
Citation:
V. A. Kozlov, V. G. Maz'ya, “On the spectrum of the operator pencil generated by the Dirichlet problem in a cone”, Mat. Sb., 182:5 (1991), 638–660; Math. USSR-Sb., 73:1 (1992), 27–48
Linking options:
https://www.mathnet.ru/eng/sm1315https://doi.org/10.1070/SM1992v073n01ABEH002533 https://www.mathnet.ru/eng/sm/v182/i5/p638
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Abstract page: | 403 | Russian version PDF: | 123 | English version PDF: | 9 | References: | 44 | First page: | 1 |
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