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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 1983 Volume 23, Number 2, Pages 333–346 (Mi zvmmf5589)

This article is cited in 7 papers

Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points

V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii

Leningrad

Abstract: Boundary value problems are considered in domains with conical or corner points, located with small specing $\varepsilon$. Taking the example of Dirichlet or Neurmann problems, and problems on plate flexure, applications are given for an algorithm for finding the asymptotic behavior as $\varepsilon\to0$ of the coefficients in the asymptotic forms of the solutions close to the vertices of cones.

UDC: 517.95

MSC: Primary 35C20; Secondary 35B40, 35J05

Received: 23.06.1981


 English version:
USSR Computational Mathematics and Mathematical Physics, 1983, 23:2, 50–58

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© Steklov Math. Inst. of RAS, 2024