This article is cited in 16 papers

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

M. Yu. Planida

Bashkir State Pedagogical University

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.

UDC: 517.956

Received: 28.05.2001

DOI: 10.4213/mzm391

 English version: Mathematical Notes, 2002, 71:6, 794–803

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