Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities
Publication
, Journal Article
Kiselev, AA; Pavlov, BS
Published in: Theoretical and Mathematical Physics
September 1, 1994
A model Laplacian with Neumann boundary conditions (Neumann problem) in a system of two cavities joined by a thin channel is investigated. An expression is obtained for the resolvent and also the first terms in the asymptotic expansions of the eigenvalues and eigenfunctions with respect to the small coupling parameter. © 1995 Plenum Publishing Corporation.
Duke Scholars
Published In
Theoretical and Mathematical Physics
DOI
EISSN
1573-9333
ISSN
0040-5779
Publication Date
September 1, 1994
Volume
100
Issue
3
Start / End Page
1065 / 1074
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A. A., & Pavlov, B. S. (1994). Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities. Theoretical and Mathematical Physics, 100(3), 1065–1074. https://doi.org/10.1007/BF01018571
Kiselev, A. A., and B. S. Pavlov. “Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities.” Theoretical and Mathematical Physics 100, no. 3 (September 1, 1994): 1065–74. https://doi.org/10.1007/BF01018571.
Kiselev AA, Pavlov BS. Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities. Theoretical and Mathematical Physics. 1994 Sep 1;100(3):1065–74.
Kiselev, A. A., and B. S. Pavlov. “Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities.” Theoretical and Mathematical Physics, vol. 100, no. 3, Sept. 1994, pp. 1065–74. Scopus, doi:10.1007/BF01018571.
Kiselev AA, Pavlov BS. Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities. Theoretical and Mathematical Physics. 1994 Sep 1;100(3):1065–1074.
Published In
Theoretical and Mathematical Physics
DOI
EISSN
1573-9333
ISSN
0040-5779
Publication Date
September 1, 1994
Volume
100
Issue
3
Start / End Page
1065 / 1074
Related Subject Headings
- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences