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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
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\paper A continuation problem for electrodynamic equations
\jour Eurasian Journal of Mathematical and Computer Applications
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\vol 7
\issue 4
\pages 100--114
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