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Expansions of solutions of electrodynamic equations in a vicinity of characteristic surfaces Научная публикация

Журнал

Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822

Вых. Данные

Год: 2021, Том: 9, Номер: 3, Страницы: 68-81 Страниц : 14 DOI: 10.32523/2306-6172-2021-9-3-68-81

Ключевые слова

Maxwell equations, Cauchy problem, asymptotic expansions, point source, plane wave, smoothness of solutions.

Авторы

Romanov V.G. ¹

Организации

1	Sobolev Institute of Mathematics

We consider the Cauchy problems for electrodynamic equations related to two types of external impacts on the inhomogeneous medium. At first, it is a point source and, at second, a plane wave going from infinitely. We write down expansions of solutions for the both problems in a vicinity of the characteristic cone (for the case of point source) and the characteristic wedge (for the plane wave). The such expansions are widely used in the study of inverse problems for the Maxwell equations. We study questions of smoothness of these expansions.

Romanov V.G.
Expansions of solutions of electrodynamic equations in a vicinity of characteristic surfaces
Eurasian Journal of Mathematical and Computer Applications. 2021. V.9. N3. P.68-81. DOI: 10.32523/2306-6172-2021-9-3-68-81 WOS Scopus OpenAlex

Поступила в редакцию:	2 авг. 2021 г.
Принята к публикации:	14 авг. 2021 г.

Web of science:	WOS:000702357700006
Scopus:	2-s2.0-85118651028
OpenAlex:	W3211065466

БД	Цитирований
Scopus	1