Geodesic
Asymptotic Expansion of Eigenvalues of the Laplace Operator in Domains with Singularly Perturbed Boundary
Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 299-307

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider eigenvalue problems for the Laplace operator in three-dimensional domains with singularly perturbed boundary. Perturbations are generated by a complementary Dirichlet boundary condition on a small nonclosed surface inside the domain. The convergence and the asymptotic behavior of simple eigenvalues of the problem are considered. 
@article{MZM_2005_78_2_a15,
     author = {M. I. Cherdantsev},
     title = {Asymptotic {Expansion} of {Eigenvalues} of the {Laplace} {Operator} in {Domains} with {Singularly} {Perturbed} {Boundary}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {299--307},
     publisher = {mathdoc},
     volume = {78},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a15/}
}
TY  - JOUR
AU  - M. I. Cherdantsev
TI  - Asymptotic Expansion of Eigenvalues of the Laplace Operator in Domains with Singularly Perturbed Boundary
JO  - Matematičeskie zametki
PY  - 2005
SP  - 299
EP  - 307
VL  - 78
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a15/
LA  - ru
ID  - MZM_2005_78_2_a15
ER  - 
%0 Journal Article
%A M. I. Cherdantsev
%T Asymptotic Expansion of Eigenvalues of the Laplace Operator in Domains with Singularly Perturbed Boundary
%J Matematičeskie zametki
%D 2005
%P 299-307
%V 78
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a15/
%G ru
%F MZM_2005_78_2_a15
M. I. Cherdantsev. Asymptotic Expansion of Eigenvalues of the Laplace Operator in Domains with Singularly Perturbed Boundary. Matematičeskie zametki, Tome 78 (2005) no. 2, pp. 299-307. http://geodesic.mathdoc.fr/item/MZM_2005_78_2_a15/