Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2023, Volume 521, Pages 79–94 (Mi znsl7325)  
Existence of a solution to the scattering problem for the ultrahyperbolic equation

M. N. Demchenko

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (219 kB)
References:
PDF
HTML
Abstract: We consider the ultrahyperbolic equation in the Euclidean space. The behavior at the infinity of a certain class of solutions is studied. We examine the issue of existence of solutions to the scattering problem: for a given asymptotics at the infinity the corresponding solution to the equation is constructed.
Key words and phrases: ultrahyperbolic equation, asymptotic behavior of a solution at the infinity, scattering problem.
Received: 29.09.2023
Document Type: Article
UDC: 517.951
Language: Russian
Citation: M. N. Demchenko, “Existence of a solution to the scattering problem for the ultrahyperbolic equation”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 79–94
Citation in format AMSBIB
\Bibitem{Dem23}
\by M.~N.~Demchenko
\paper Existence of a solution to the scattering problem for the ultrahyperbolic equation
\inbook Mathematical problems in the theory of wave propagation. Part~53
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 521
\pages 79--94
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7325}
Linking options:
  • https://www.mathnet.ru/eng/znsl7325
  • https://www.mathnet.ru/eng/znsl/v521/p79
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:36
    Full-text PDF :16
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024