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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 493, Pages 232–258 (Mi znsl6969)  
This article is cited in 1 scientific paper (total in 1 paper)

Eigenfunctions of negative spectrum for the Schrödinger operator in a halfplane having singular potential on a ray and with Neumann boundary condition

M. A. Lyalinov

Saint Petersburg State University
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Abstract: In this work eigenfunctions of essential and discrete spectrum are constructed. Integral representations and asymptotics of the eigenfunctions at far distances are obtained.
Key words and phrases: discrete and essential spectrum, eigenfunctions, Kontorovich–Lebedev integrals, Sommerfeld–Malyuzhinets technique, asymptotics, functional difference equations.
Funding agency Grant number
Russian Science Foundation 17-11-01126
Received: 28.10.2020
Document Type: Article
UDC: 517
Language: Russian
Citation: M. A. Lyalinov, “Eigenfunctions of negative spectrum for the Schrödinger operator in a halfplane having singular potential on a ray and with Neumann boundary condition”, Mathematical problems in the theory of wave propagation. Part 50, Zap. Nauchn. Sem. POMI, 493, POMI, St. Petersburg, 2020, 232–258
Citation in format AMSBIB
\Bibitem{Lya20}
\by M.~A.~Lyalinov
\paper Eigenfunctions of negative spectrum for the Schr\"odinger operator in a halfplane having singular potential on a ray and with Neumann boundary condition
\inbook Mathematical problems in the theory of wave propagation. Part~50
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 493
\pages 232--258
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6969}
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  • https://www.mathnet.ru/eng/znsl/v493/p232
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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