Method of boundary integral equations for the second boundary-value problem in domains with a cut

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1990 English Publisher:Springer Science and Business Media LLCJournal:Journal of Soviet Mathematics, volume 49, pages 1,328-1,330 (issn: 0090-4104, eissn: 1573-8795,

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Authors: V. A. Shcherbina;

doi: 10.1007/bf02209183

Method of boundary integral equations for the second boundary-value problem in domains with a cut

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Abstract

The solution of the second boundary value problem in R3 with a cut reduces to an integrodifferential equation, for the solving of which one can use operator methods of the theory of extensions of symmetric operators. The bounded solvability of the corresponding operator equation problem is proved.

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