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On the Convergence of Solutions of Singularly Perturbed Boundary-Value Problems for the Laplace Operator

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Abstract

In this paper, we study the convergence of solutions and eigenvalues of singularly perturbed boundary-value problems for the Laplace operator in three-dimensional bounded domains with thin tubes cut out and variation of boundary conditions on narrow strips.

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Authors and Affiliations

  1. Bashkir State Pedagogical University, Ufa

    M. Yu. Planida

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  1. M. Yu. Planida
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Planida, M.Y. On the Convergence of Solutions of Singularly Perturbed Boundary-Value Problems for the Laplace Operator. Mathematical Notes 71, 794–803 (2002). https://doi.org/10.1023/A:1015820928854

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