Journal
IZVESTIYA MATHEMATICS
Volume 67, Issue 6, Pages 1101-1148Publisher
LONDON MATHEMATICAL SOCIETY RUSSIAN ACAD SCIENCES
DOI: 10.1070/IM2003v067n06ABEH000459
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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.
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