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A correct asymptotic multigroup approximation of the problem of determining the critical radius of a sphere

✍ Scribed by V.P. Gorelov; V.I. Il'in


Publisher
Elsevier Science
Year
1977
Weight
582 KB
Volume
17
Category
Article
ISSN
0041-5553

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Asymptotic approximation of eigenelement
✍ Youcef Amirat; Gregory A. Chechkin; Rustem R. Gadyl'shin πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 383 KB

## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a two‐dimensional bounded domain with thin shoots, depending on a small parameter Ξ΅. Under the assumption that the width of the shoots goes to zero, as Ξ΅ tends to zero, we construct the l