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This article is cited in 16 scientific papers (total in 16 papers)
Two-Parameter Asymptotics in a Boundary-Value Problem for the Laplacian
D. I. Borisov Bashkir State Pedagogical University
Abstract:
We study a model boundary-value problem for the Laplacian in the unit disk with closely-spaced and periodic alternation of the type of boundary condition for the case in which the Dirichlet problem is the limit one. We study and justify the two-parameter asymptotics of an eigenvalue of the perturbed problem converging to a simple eigenvalue of the limit problem.
Received: 20.04.1999 Revised: 10.04.2001
Citation:
D. I. Borisov, “Two-Parameter Asymptotics in a Boundary-Value Problem for the Laplacian”, Mat. Zametki, 70:4 (2001), 520–534; Math. Notes, 70:4 (2001), 471–485
Linking options:
https://www.mathnet.ru/eng/mzm764https://doi.org/10.4213/mzm764 https://www.mathnet.ru/eng/mzm/v70/i4/p520
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Abstract page: | 474 | Full-text PDF : | 229 | References: | 71 | First page: | 1 |
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