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Matematicheskie Zametki, 1998, Volume 64, Issue 3, Pages 414–422
DOI: https://doi.org/10.4213/mzm1412 (Mi mzm1412) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The asymptotic eigenfunctions of the operator $\nabla D(x,y)\nabla$ corresponding to Liouville metrics and waves on water captured by bottom irregularities

V. S. Matveev

Chelyabinsk State University
Full-text PDF (1201 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm1412
Abstract: We construct a set of examples of bottom reliefs for which there exist captured waves corresponding to quasimodes of the wave operator $\nabla D(x,y)\nabla$.
Received: 01.04.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 3, Pages 357–363
DOI: https://doi.org/10.1007/BF02314845
Bibliographic databases:
UDC: 551.46+514.17+517.9
Language: Russian
Citation: V. S. Matveev, “The asymptotic eigenfunctions of the operator $\nabla D(x,y)\nabla$ corresponding to Liouville metrics and waves on water captured by bottom irregularities”, Mat. Zametki, 64:3 (1998), 414–422; Math. Notes, 64:3 (1998), 357–363
Citation in format AMSBIB
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\by V.~S.~Matveev
\paper The asymptotic eigenfunctions of the operator $\nabla D(x,y)\nabla$ corresponding to Liouville metrics and waves on water captured by bottom irregularities
\jour Mat. Zametki
\yr 1998
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\issue 3
\pages 414--422
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\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 3
\pages 357--363
\crossref{https://doi.org/10.1007/BF02314845}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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