Geodesic
Sufficient conditions of the existence of trapped modes in problems of the linear theory of surface waves
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 38, Tome 369 (2009), pp. 202-223

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A new method is proposed for searching for trapped modes in several problems of the linear water-wave theory. In the case of submerged bodies the method gives simple proofs of known results and in the case of surface piercing bodies the observed condition in completely new. Bibl. – 24 titles. 
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     author = {S. A. Nazarov},
     title = {Sufficient conditions of the existence of trapped modes in problems of the linear theory of surface waves},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {202--223},
     publisher = {mathdoc},
     volume = {369},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_369_a9/}
}
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S. A. Nazarov. Sufficient conditions of the existence of trapped modes in problems of the linear theory of surface waves. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 38, Tome 369 (2009), pp. 202-223. http://geodesic.mathdoc.fr/item/ZNSL_2009_369_a9/