On the Convergence of Solutions of Singularly Perturbed Boundary-Value Problems for the Laplace Operator
Matematičeskie zametki, Tome 71 (2002) no. 6, pp. 867-877

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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.
@article{MZM_2002_71_6_a6,
     author = {M. Yu. Planida},
     title = {On the {Convergence} of {Solutions} of {Singularly} {Perturbed} {Boundary-Value} {Problems} for the {Laplace} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {867--877},
     publisher = {mathdoc},
     volume = {71},
     number = {6},
     year = {2002},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_6_a6/}
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M. Yu. Planida. On the Convergence of Solutions of Singularly Perturbed Boundary-Value Problems for the Laplace Operator. Matematičeskie zametki, Tome 71 (2002) no. 6, pp. 867-877. http://geodesic.mathdoc.fr/item/MZM_2002_71_6_a6/