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This article is cited in 24 scientific papers (total in 24 papers)
Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
D. I. Borisov
Abstract:
We consider a singularly perturbed spectral boundary-value problem for the Laplace operator in a two-dimensional domain with frequently alternating non-periodic boundary conditions.
Under certain very weak restrictions on the alternation structure of the boundary conditions, we obtain the first terms of the asymptotic expansions of the eigenelements of this problem. Under still weaker restrictions, we obtain estimates for the rate of convergence of the eigenvalues.
Received: 12.09.2002
Citation:
D. I. Borisov, “Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions”, Izv. Math., 67:6 (2003), 1101–1148
Linking options:
https://www.mathnet.ru/eng/im459https://doi.org/10.1070/IM2003v067n06ABEH000459 https://www.mathnet.ru/eng/im/v67/i6/p23
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