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Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients

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Abstract

A representation of the solution to an elliptic boundary value problem in the vicinity of a corner point on the discontinuity line of the coefficient of the higher order derivative is constructed. The study is based on the method of additive separation of singularities proposed by Kondrat’ev.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119992, Russia

    A. N. Bogolyubov & I. E. Mogilevskii

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  1. A. N. Bogolyubov
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  2. I. E. Mogilevskii
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Correspondence to A. N. Bogolyubov.

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Original Russian Text © A.N. Bogolyubov, I.E. Mogilevskii, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 12, pp. 2253–2259.

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Bogolyubov, A.N., Mogilevskii, I.E. Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients. Comput. Math. and Math. Phys. 51, 2121–2127 (2011). https://doi.org/10.1134/S0965542511120074

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  • DOI: https://doi.org/10.1134/S0965542511120074

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