Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 173-178
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D. Ya. Terman. The splitting of Laplacian operator eigenvalue in the case of ellipse with cuts. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 19, Tome 179 (1989), pp. 173-178. http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a19/
@article{ZNSL_1989_179_a19,
author = {D. Ya. Terman},
title = {The splitting of {Laplacian} operator eigenvalue in the case of ellipse with cuts},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {173--178},
year = {1989},
volume = {179},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a19/}
}
TY - JOUR
AU - D. Ya. Terman
TI - The splitting of Laplacian operator eigenvalue in the case of ellipse with cuts
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 173
EP - 178
VL - 179
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a19/
LA - ru
ID - ZNSL_1989_179_a19
ER -
%0 Journal Article
%A D. Ya. Terman
%T The splitting of Laplacian operator eigenvalue in the case of ellipse with cuts
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 173-178
%V 179
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_179_a19/
%G ru
%F ZNSL_1989_179_a19
For the splitting of eigenvalues of the Laplacian operator in the case of Dirichlet boundary problem for ellipse with cuts the exponential asymptotics with the pre-exponent factor in a quasi-classical form is proved. The prove is based on the separation variable method.
