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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 1, Pages 118–127
DOI: https://doi.org/10.4213/tmf559 (Mi tmf559) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Asymptotic approximations for a new eigenvalue in linear problems without a threshold

D. E. Pelinovsky, C. Sulem

University of Toronto
Full-text PDF (204 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf559
Abstract: We study the criterion for a new eigenvalue to appear in the linear spectral problem associated with the intermediate long-wave equation. We compute the asymptotic value of the new eigenvalue in the limit of a small potential using a Fourier decomposition method. We compare the results with those for the Schrödinger operator with a radially symmetrical potential.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 1, Pages 98–106
DOI: https://doi.org/10.1007/BF02551173
Bibliographic databases:
Language: Russian
Citation: D. E. Pelinovsky, C. Sulem, “Asymptotic approximations for a new eigenvalue in linear problems without a threshold”, TMF, 122:1 (2000), 118–127; Theoret. and Math. Phys., 122:1 (2000), 98–106
Citation in format AMSBIB
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\by D.~E.~Pelinovsky, C.~Sulem
\paper Asymptotic approximations for a new eigenvalue in linear problems without a threshold
\jour TMF
\yr 2000
\vol 122
\issue 1
\pages 118--127
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 1
\pages 98--106
\crossref{https://doi.org/10.1007/BF02551173}
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  • https://doi.org/10.4213/tmf559
  • https://www.mathnet.ru/eng/tmf/v122/i1/p118
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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