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Eurasian Journal of Mathematical and Computer Applications, 2019, том 7, выпуск 4, страницы 100–114 DOI: https://doi.org/10.32523/2306-6172-2019-7-4-100-114
(Mi ejmca146)
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A continuation problem for electrodynamic equations
V. G. Romanov Sobolev Institute of Mathematics, Novosibirsk 630090, Koptyug prosp., 4, Russia
DOI:
https://doi.org/10.32523/2306-6172-2019-7-4-100-114
Аннотация:
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.
Ключевые слова:
Maxwell equations, Cauchy problem, uniqueness, solvability.
Образец цитирования:
V. G. Romanov, “A continuation problem for electrodynamic equations”, Eurasian Journal of Mathematical and Computer Applications, 7:4 (2019), 100–114
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ejmca146 https://www.mathnet.ru/rus/ejmca/v7/i4/p100
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