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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 2, Pages 355–388
(Mi smj2427)
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This article is cited in 4 scientific papers (total in 4 papers)
Differential properties of the Dirichlet–Neumann operator
V. I. Nalimov Lavrent'ev Institute of Hydrodynamics, Novosibirsk, Russia
Abstract:
Under consideration is the Dirichlet–Neumann operator on the boundary of the distorted half-space bounded below by a surface which is close to a hyperplane. We establish the differential properties of the operator depending on the smoothness of the boundary and find an expression for it.
Keywords:
Dirichlet–Neumann operator, differential.
Received: 07.10.2010
Citation:
V. I. Nalimov, “Differential properties of the Dirichlet–Neumann operator”, Sibirsk. Mat. Zh., 54:2 (2013), 355–388; Siberian Math. J., 54:2 (2013), 271–300
Linking options:
https://www.mathnet.ru/eng/smj2427 https://www.mathnet.ru/eng/smj/v54/i2/p355
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Abstract page: | 454 | Full-text PDF : | 176 | References: | 57 | First page: | 16 |
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