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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 516, Pages 40–64 (Mi znsl7268)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic properties of solutions to a certain ultrahyperbolic equation

M. N. Demchenko

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We consider a certain ultrahyperbolic equation in a Euclidean space being a generalization of Klein–Gordon–Fock equation. The behavior of solutions at points tending to infinity along timelike directions is studied. We examine the issue of existence of solutions possessing given asymptotic properties at infinity.
Key words and phrases: ultrahyperbolic equation, Klein–Gordon–Fock equation, relativistic wave equation, asymptotic behavior at infinity, scattering problem.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00627_а
Received: 01.11.2022
Document Type: Article
UDC: 517.951
Language: Russian
Citation: M. N. Demchenko, “Asymptotic properties of solutions to a certain ultrahyperbolic equation”, Mathematical problems in the theory of wave propagation. Part 52, Zap. Nauchn. Sem. POMI, 516, POMI, St. Petersburg, 2022, 40–64
Citation in format AMSBIB
\Bibitem{Dem22}
\by M.~N.~Demchenko
\paper Asymptotic properties of solutions to a certain ultrahyperbolic equation
\inbook Mathematical problems in the theory of wave propagation. Part~52
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 516
\pages 40--64
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7268}
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  • https://www.mathnet.ru/eng/znsl/v516/p40
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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