A NOTE ON THE GENERALIZED DUMBBELL PROBLEM

Authors
ANNE C
Citation
C. Anne, A NOTE ON THE GENERALIZED DUMBBELL PROBLEM, Proceedings of the American Mathematical Society, 123(8), 1995, pp. 2595-2599
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
8
Year of publication
1995
Pages
2595 - 2599
Database
ISI
SICI code
0002-9939(1995)123:8<2595:ANOTGD>2.0.ZU;2-U
Abstract
This note is devoted to the calculation of the asymptotics of the smal l eigenvalues and corresponding eigenfunctions for the Laplace operato r with Neumann boundary conditions on a domain obtained by adding seve ral thin channels between given bounded domains.