Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




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

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 34–36
DOI: https://doi.org/10.31857/S2686954322010088 (Mi danma234) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution

V. B. Levenshtam

Southern Federal University, Rostov-on-Don, Russia
Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954322010088
Abstract: We consider the Cauchy problem for the one-dimensional hyperbolic equation with the junior term. The junior coefficient and right hand side oscillates in time with a high frequency, the amplitude of the junior coefficient is small. We study the way of reconstraction these oscillating functions using partial asymptotics of the solution, which are given at a certain point of the domain.
Keywords: hyperbolic equation, rapidly oscillating data, asymptotic methods, inverse problem.
Funding agency Grant number
Russian Science Foundation 20-11-20141
The main result of this work (Theorem 2) was obtained under the support of the Russian Science Foundation, project no. 20-11-20141.
Presented: E. I. Moiseev
Received: 07.09.2021
Revised: 07.09.2021
Accepted: 22.12.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 28–30
DOI: https://doi.org/10.1134/S1064562422010082
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. B. Levenshtam, “Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 34–36; Dokl. Math., 105:1 (2022), 28–30
Citation in format AMSBIB
\Bibitem{Lev22}
\by V.~B.~Levenshtam
\paper Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 502
\pages 34--36
\mathnet{http://mi.mathnet.ru/danma234}
\elib{https://elibrary.ru/item.asp?id=48050923}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 28--30
\crossref{https://doi.org/10.1134/S1064562422010082}
Linking options:
  • https://www.mathnet.ru/eng/danma234
  • https://www.mathnet.ru/eng/danma/v502/p34
    • 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
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025