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- Title
Asymptotic Expansions of Eigenelements of the Laplace Operator in a Domain with Many “Light” Concentrated Masses Closely Located on the Boundary. Multi-Dimensional Case.
- Authors
Chechkin, G.
- Abstract
A spectral problem for the Laplace operator is considered in a domain with singular density near the boundary (with concentrated masses). The boundary condition is of rapidly variable type. We construct asymptotic expansions for the eigenvalues and eigenfunctions of the problem with respect to a small parameter characterizing the diameter and density of masses, as well as distance between the masses. The expansions are justified. Bibliography: 59 titles. Illustrations: 3 figures.
- Subjects
HARMONIC functions; LAPLACE transformation; OPERATIONAL calculus; DIFFERENTIAL equations; MATHEMATICAL transformations; Z transformation
- Publication
Journal of Mathematical Sciences, 2005, Vol 128, Issue 5, p3263
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-005-0268-y