Expansions of solutions of electrodynamic equations in a vicinity of characteristic surfaces Full article
| Journal |
Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
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| Output data | Year: 2021, Volume: 9, Number: 3, Pages: 68-81 Pages count : 14 DOI: 10.32523/2306-6172-2021-9-3-68-81 | ||
| Tags | Maxwell equations, Cauchy problem, asymptotic expansions, point source, plane wave, smoothness of solutions. | ||
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Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Aug 2, 2021 |
| Accepted: | Aug 14, 2021 |
Identifiers:
| Web of science: | WOS:000702357700006 |
| Scopus: | 2-s2.0-85118651028 |
| OpenAlex: | W3211065466 |
Citing:
| DB | Citing |
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| Scopus | 1 |