Geodesic
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

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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. 
@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},
     publisher = {mathdoc},
     volume = {230},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a4/}
}
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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/