Geodesic
Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension~2 and Trapped Coastal Waves
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 792-797.

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

Keywords: asymptotic eigenfunction, billiard with semi-rigid walls, trapped coastal waves on shallow water, stationary problem. 
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     title = {Asymptotics, {Related} to {Billiards} with {Semi-Rigid} {Walls,} of {Eigenfunctions} of the $\nabla D(x)\nabla$ {Operator} in {Dimension~2} and {Trapped} {Coastal} {Waves}},
     journal = {Matemati\v{c}eskie zametki},
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A. Yu. Anikin; S. Yu. Dobrokhotov; V. E. Nazaikinskii; A. V. Tsvetkova. Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension~2 and Trapped Coastal Waves. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 792-797. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a11/

[1] F. Ursell, Proc. Roy. Soc. London. Ser. A, A214 \year 1952, 79–97 | MR | Zbl

[2] A. I. Komech, A. E. Merzon, P. N. Zhevandrov, Russ. J. Math. Phys., 4:4 (1997), 457–486 | MR

[3] A. E. Merzon, P. N. Zhevandrov, SIAM J. Appl. Math., 59:2 (1998), 529–546 | DOI | MR

[4] S. Yu. Dobrokhotov, Dokl. AN SSSR, 289:3 (1986), 575–579 | MR

[5] S. Yu. Dobrokhotov, P. N. Zhevandrov, K. V. Simonov, “Volny Stoksa v zamknutykh basseinakh”, Teoreticheskie i eksperimentalnye issledovaniya dlinnovolnovykh protsessov, DVNTs AN SSSR, Vladivostok, 1985, 13–19

[6] M. Sh. Birman, M. Z. Solomyak, Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, LGU, L., 1980 | MR | Zbl

[7] O. A. Oleinik, E. V. Radkevich, Itogi nauki. Ser. Matematika. Mat. anal. 1969, VINITI, M., 1971, 7–252 | MR | Zbl

[8] V. P. Maslov, M. V. Fedoryuk, Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki, Nauka, M., 1976 | MR | Zbl

[9] V. F. Lazutkin, KAM Theory and Semiclassical Approximations to Eigenfunctions, Springer-Verlag, Berlin, 1993 | MR | Zbl

[10] V. S. Matveev, Matem. zametki, 64:3 (1998), 414–422 | DOI | MR | Zbl

[11] V. E. Nazaikinskii, Matem. zametki, 92:1 (2012), 153–156 | DOI | MR | Zbl

[12] V. E. Nazaikinskii, Matem. zametki, 96:2 (2014), 261–276 | DOI | MR | Zbl

[13] S. Yu. Dobrokhotov, V. E. Nazaikinskii, Matem. zametki, 100:5 (2016), 710–731 | DOI | MR | Zbl

[14] A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, Matem. zametki, 104:4 (2018), 483–504 | DOI | Zbl