Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 41-51
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A. S. Golubeva. Solutions of the membrane equation concentrated near extremal loops. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 41-51. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a4/
@article{ZNSL_1995_230_a4,
author = {A. S. Golubeva},
title = {Solutions of the membrane equation concentrated near extremal loops},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {41--51},
year = {1995},
volume = {230},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a4/}
}
TY - JOUR
AU - A. S. Golubeva
TI - Solutions of the membrane equation concentrated near extremal loops
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 41
EP - 51
VL - 230
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a4/
LA - ru
ID - ZNSL_1995_230_a4
ER -
%0 Journal Article
%A A. S. Golubeva
%T Solutions of the membrane equation concentrated near extremal loops
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 41-51
%V 230
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a4/
%G ru
%F ZNSL_1995_230_a4
Formal asymptotic solutions of the equation $\Delta^2u-\frac{\omega^4u}{c^4(x,y)}=0$ concentrated in the vicinity of an extremal loop with $N$ vertices are constructed by applying the complex version of the ray method. Bibl. 5 titles.
