|
This article is cited in 88 scientific papers (total in 88 papers)
Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes
V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii
Abstract:
Complete asymptotic expansions are found for the first eigenvalues and eigenfunctions of classical problems for the Laplace operator in two- and three-dimensional domains with small holes.
Bibliography: 17 titles.
Received: 23.11.1982
Citation:
V. G. Maz'ya, S. A. Nazarov, B. A. Plamenevskii, “Asymptotic expansions of the eigenvalues of boundary value problems for the Laplace operator in domains with small holes”, Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984), 347–371; Math. USSR-Izv., 24:2 (1985), 321–345
Linking options:
https://www.mathnet.ru/eng/im1449https://doi.org/10.1070/IM1985v024n02ABEH001237 https://www.mathnet.ru/eng/im/v48/i2/p347
|
Statistics & downloads: |
Abstract page: | 985 | Russian version PDF: | 386 | English version PDF: | 50 | References: | 80 | First page: | 3 |
|