Regularization of a continuation problem for electrodynamic equations

被引：0

作者：

Romanov, Vladimir G. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Div, Acad Koptyug Prospekt 4, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Math Ctr Akademgorodok, Pirogova Str 2, Novosibirsk 630090, Russia

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2020年 / 28卷 / 05期

关键词：

Maxwell equations; continuation problem; regularization; INVERSE PROBLEMS; SOLVABILITY;

D O I：

10.1515/jiip-2020-0012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = {x is an element of R-3 vertical bar x(3) = 0} inside the half-space R-+(3) ={x is an element of R-3 vertical bar x(3) > 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.

引用

页码：751 / 760

页数：10

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