Eurasian Journal of Mathematical and Computer Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Eurasian Journal of Mathematical and Computer Applications:
Year:
Volume:
Issue:
Page:
Find




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

Eurasian Journal of Mathematical and Computer Applications, 2019, Volume 7, Issue 4, Pages 100–114
DOI: https://doi.org/10.32523/2306-6172-2019-7-4-100-114 (Mi ejmca146) 		 
A continuation problem for electrodynamic equations

V. G. Romanov

Sobolev Institute of Mathematics, Novosibirsk 630090, Koptyug prosp., 4, Russia
Full-text PDF (429 kB)
DOI: https://doi.org/10.32523/2306-6172-2019-7-4-100-114
Abstract: We consider the problem of continuation of a solution of electrodynamic equations from the boundary of the half-space $\mathbb{R}_+^3=\{x\in\mathbb{R}^3\mid x_3>0\}$ inside. The main result is a unique local solvability and uniqueness theorem in the class of functions that are analytic with respect to space variables.
Keywords: Maxwell equations, Cauchy problem, uniqueness, solvability.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations II.1, 0314-2018-0009
The work was supported by the comprehensive program of fundamental scientific researches of the SB RAS II.1, project No. 0314-2018-0009.
Bibliographic databases:
Document Type: Article
MSC: 35F45, 35L40, 35R25
Language: English
Citation: V. G. Romanov, “A continuation problem for electrodynamic equations”, Eurasian Journal of Mathematical and Computer Applications, 7:4 (2019), 100–114
Citation in format AMSBIB
\Bibitem{Rom19}
\by V.~G.~Romanov
\paper A continuation problem for electrodynamic equations
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2019
\vol 7
\issue 4
\pages 100--114
\mathnet{http://mi.mathnet.ru/ejmca146}
\crossref{https://doi.org/10.32523/2306-6172-2019-7-4-100-114}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000496547400007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85078525514}
Linking options:
  • https://www.mathnet.ru/eng/ejmca146
  • https://www.mathnet.ru/eng/ejmca/v7/i4/p100
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Journal of Mathematical and Computer Applications
    Statistics & downloads:
    Abstract page:108
    Full-text PDF :40
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024