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Zhurnal Tekhnicheskoi Fiziki, 2015, Volume 85, Issue 11, Pages 141–142 (Mi jtf7945)  
Brief Communications

Sufficient condition for the existence of a solution to the equation of nonlocal ionization source in a glow discharge

V. V. Gorin

Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
Full-text PDF (97 kB)
Abstract: A sufficient condition for the existence of a solution to the Gorin integral equation for a nonlocal source of ionization in a dc glow discharge of an arbitrary geometry, including a hollow-cathode glow discharge, is formulated and proved. Together with the theorem of uniqueness of solution, stated and proved earlier, this provides reliable mathematical basics for simulating nonlocal phenomena using convenient physically meaningful structures.
Received: 20.03.2015
English version:
Technical Physics, 2015, Volume 60, Issue 11, Pages 1714–1715
DOI: https://doi.org/10.1134/S1063784215110122
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Gorin, “Sufficient condition for the existence of a solution to the equation of nonlocal ionization source in a glow discharge”, Zhurnal Tekhnicheskoi Fiziki, 85:11 (2015), 141–142; Tech. Phys., 60:11 (2015), 1714–1715
Citation in format AMSBIB
\Bibitem{Gor15}
\by V.~V.~Gorin
\paper Sufficient condition for the existence of a solution to the equation of nonlocal ionization source in a glow discharge
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2015
\vol 85
\issue 11
\pages 141--142
\mathnet{http://mi.mathnet.ru/jtf7945}
\elib{https://elibrary.ru/item.asp?id=24196253}
\transl
\jour Tech. Phys.
\yr 2015
\vol 60
\issue 11
\pages 1714--1715
\crossref{https://doi.org/10.1134/S1063784215110122}
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