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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 1, Pages 165–184 (Mi smj2630)  
This article is cited in 17 scientific papers (total in 17 papers)

Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients

D. M. Polyakov

Research Institute for Mathematics, Voronezh State University, Voronezh, Russia
Full-text PDF (392 kB) Citations (17)
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Abstract: Using the method of similar operators, we study the spectral properties of a fourth-order differential operator with two types of classical boundary conditions. We obtain asymptotics for the spectrum and estimates for the spectral decompositions of this operator. We construct the semigroup generated by the opposite fourth-order differential operator.
Keywords: fourth-order differential operator, spectrum of operator, method of similar operators.
Received: 20.12.2013
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 1, Pages 138–154
DOI: https://doi.org/10.1134/S0037446615010140
Bibliographic databases:
Document Type: Article
UDC: 517.19
Language: Russian
Citation: D. M. Polyakov, “Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients”, Sibirsk. Mat. Zh., 56:1 (2015), 165–184; Siberian Math. J., 56:1 (2015), 138–154
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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