This article is cited in 3 papers

Asymptotics of the Eigenelements of the Laplace Operator when the Boundary-Condition Type Changes on a Narrow Flattened Strip

M. Yu. Planida

Bashkir State Pedagogical University

Abstract: In this paper, the method of matching asymptotic expansions is used to construct an asymptotics (in a small parameter) of the eigenvalues and eigenfunctions of the Laplace operator in a domain when the boundary-condition type changes on a narrow flattened strip, provided that on the narrow strip of the boundary a Neumann condition is given and on the remaining part of the boundary a Dirichlet condition is given. The width of the strip is taken as the small parameter.

UDC: 517.956

Received: 25.10.2002

DOI: 10.4213/mzm30

 English version: Mathematical Notes, 2004, 75:2, 213–228

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