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, 2021, Volume 499, Pages 31–34
DOI: https://doi.org/10.31857/S2686954321040093 (Mi danma185) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the correct solvability of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip

V. A. Kostina, D. V. Kostinab, A. V. Kostina

a Voronezh State University, Voronezh, Russia
b Voronezh State Pedagogical University, Voronezh, Russia
Full-text PDF (104 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954321040093
Abstract: Within the framework of the theory of operator cosine functions and its application, a solution of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip is found and the correct solvability of this problem is established. The critical width of the strip is found depending on the boundary conditions. Applying this result to the problem of heat propagation in a dihedral angle allows us to determine the angle of correctness of this problem and specify the law of heat propagation in the considered region.
Keywords: strongly continuous cosine functions and transformation semigroups, boundary value problems, correct solvability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FZGF-2020-0009
This research was supported by the Ministry of Science and Higher Education of the Russian Federation within the state assignment in science, subject no. FZGF-2020-0009.
Presented: V. P. Maslov
Received: 27.04.2021
Revised: 04.06.2021
Accepted: 15.06.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 1, Pages 184–187
DOI: https://doi.org/10.1134/S1064562421040098
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. A. Kostin, D. V. Kostin, A. V. Kostin, “On the correct solvability of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 31–34; Dokl. Math., 104:1 (2021), 184–187
Citation in format AMSBIB
\Bibitem{KosKosKos21}
\by V.~A.~Kostin, D.~V.~Kostin, A.~V.~Kostin
\paper On the correct solvability of the Dirichlet boundary value problem for the generalized Helmholtz equation in a strip
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 499
\pages 31--34
\mathnet{http://mi.mathnet.ru/danma185}
\crossref{https://doi.org/10.31857/S2686954321040093}
\zmath{https://zbmath.org/?q=an:1477.80002}
\elib{https://elibrary.ru/item.asp?id=46532750}
\transl
\jour Dokl. Math.
\yr 2021
\vol 104
\issue 1
\pages 184--187
\crossref{https://doi.org/10.1134/S1064562421040098}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118755985}
Linking options:
  • https://www.mathnet.ru/eng/danma185
  • https://www.mathnet.ru/eng/danma/v499/p31
    • 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
    Statistics & downloads:
    Abstract page:109
    Full-text PDF :38
    References:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024