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This article is cited in 26 scientific papers (total in 26 papers)
Asymptotics of solutions of the Dirichlet problem in a domain with a truncated thin tube
V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii
Abstract:
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.
Received: 16.06.1980
Citation:
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”, Math. USSR-Sb., 44:2 (1983), 167–194
Linking options:
https://www.mathnet.ru/eng/sm2457https://doi.org/10.1070/SM1983v044n02ABEH000959 https://www.mathnet.ru/eng/sm/v158/i2/p187
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Abstract page: | 561 | Russian version PDF: | 193 | English version PDF: | 20 | References: | 60 | First page: | 2 |
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