Geodesic
Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube
Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 167-194 Cet article a éte moissonné depuis la source Math-Net.Ru

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Asymptotic expansions (as $\varepsilon\to0$) of solutions of the Dirichlet problem are obtained for a strongly elliptic equation of order $2m$ in a subdomain of $\mathbf R^n$ minus an $\varepsilon$-neighborhood of a smooth submanifold, without boundary, of positive codimension. Bibliography: 18 titles. 
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V. G. Maz'ya; S. A. Nazarov; B. A. Plamenevskii. Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube. Sbornik. Mathematics, Tome 44 (1983) no. 2, pp. 167-194. http://geodesic.mathdoc.fr/item/SM_1983_44_2_a2/

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