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Differential properties of the Dirichlet-Neumann operator

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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.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Novosibirsk, Russia

    V. I. Nalimov

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  1. V. I. Nalimov
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Original Russian Text Copyright © 2013 Nalimov V.I.

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Translated from Sibirskiı Matematicheskiı Zhurnal, Vol. 54, No. 2, pp. 355–388, March–April, 2013.

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Nalimov, V.I. Differential properties of the Dirichlet-Neumann operator. Sib Math J 54, 271–300 (2013). https://doi.org/10.1134/S0037446613020122

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  • DOI: https://doi.org/10.1134/S0037446613020122

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