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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 2, Pages 282–316
DOI: https://doi.org/10.31857/S0044466923020102 (Mi zvmmf11515) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: II. Potential theory

M. O. Korpusov, E. A. Ovsyannikov

Lomonosov Moscow State University
Citations (1)
DOI: https://doi.org/10.31857/S0044466923020102
Abstract: Volume and surface potentials arising in Cauchy problems for nonlinear equations in the theory of ion acoustic and drift waves in a plasma are considered, and their properties are examined. For the volume potential, an estimate is derived, which is used to prove a Schauder-type a priori estimate and Schauder-type estimates for weighted potentials.
Key words: volume potential, surface potential, Schauder-type a priori estimates.
Funding agency Grant number
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
RUDN University Strategic Academic Leadership Program
This work was supported by the Foundation for Advancement of Theoretical Physics and Mathematics “BASIS” and by the RUDN Program of Strategic Academic Leadership.
Received: 29.11.2021
Revised: 04.07.2022
Accepted: 04.07.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 2, Pages 250–284
DOI: https://doi.org/10.1134/S0965542523020094
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. O. Korpusov, E. A. Ovsyannikov, “Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: II. Potential theory”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 282–316; Comput. Math. Math. Phys., 63:2 (2023), 250–284
Citation in format AMSBIB
\Bibitem{KorOvs23}
\by M.~O.~Korpusov, E.~A.~Ovsyannikov
\paper Local solvability, blow-up, and H\"older regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: II. Potential theory
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 2
\pages 282--316
\mathnet{http://mi.mathnet.ru/zvmmf11515}
\crossref{https://doi.org/10.31857/S0044466923020102}
\elib{https://elibrary.ru/item.asp?id=50435455}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 2
\pages 250--284
\crossref{https://doi.org/10.1134/S0965542523020094}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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