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Regularization of a continuation problem for electrodynamic equations Full article

Journal Journal of Inverse and Ill-Posed Problems
ISSN: 0928-0219 , E-ISSN: 1569-3945
Output data Year: 2020, Volume: 28, Number: 5, Pages: 751-760 Pages count : 10 DOI: 10.1515/jiip-2020-0012
Tags Maxwell equations, continuation problem, regularization
Authors Romanov V.G. 1,2,3
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University
3 Mathematical Center in Akademgorodok

Abstract: The problem of continuation of a solution of electrodynamic equations fromthe time-like half-plane S = {x ∈ ℝ3 | x3 = 0} inside the half-space ℝ3 + = {x ∈ ℝ3 | x3 > 0} is considered. A regularization method for a solution of this problem with approximate data is proposed, and the convergence of this method for the class of functions that are analytic with respect to space variables is stated.
Cite: Romanov V.G.
Regularization of a continuation problem for electrodynamic equations
Journal of Inverse and Ill-Posed Problems. 2020. V.28. N5. P.751-760. DOI: 10.1515/jiip-2020-0012 WOS Scopus OpenAlex
Dates:
Submitted: Feb 8, 2020
Accepted: Aug 17, 2020
Identifiers:
Web of science: WOS:000585093500012
Scopus: 2-s2.0-85094174921
OpenAlex: W3087249618
Citing:
DB Citing
Scopus 1
OpenAlex 1
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