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

共 50 条

[21] ON REGULARIZATION BY MEANS OF ANALYTIC CONTINUATION
KARLSON, E
ARKIV FOR FYSIK, 1954, 7 (03): : 221 - 237
[22] Regularization of a backward problem for composite fractional relaxation equations
Wu, Yao-Qun
He, Jia Wei
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 180 - 196
[23] REGULARIZATION PROBLEM IN THEORY OF INTEGRAL EQUATIONS WITH CAUCHY KERNEL
KHVEDELIDZE, B
DOKLADY AKADEMII NAUK SSSR, 1961, 140 (01): : 66 - &
[24] A stability estimate for the solution to the problem for the electrodynamic equations with data on a timelike surface
Romanov, V. G.
DOKLADY MATHEMATICS, 2006, 74 (03) : 795 - 798
[25] A stability estimate for the solution to the problem for the electrodynamic equations with data on a timelike surface
V. G. Romanov
Doklady Mathematics, 2006, 74 : 795 - 798
[26] Tikhonov regularization Solve Partial Differential Equations Inverse Problem
He, Yali
Zheng, Shiqiu
Yang, Yanmei
INTELLIGENT STRUCTURE AND VIBRATION CONTROL, PTS 1 AND 2, 2011, 50-51 : 459 - 462
[27] Regularization of a solution to the Cauchy problem for the system of equations of elasticity in displacements
Makhmudov, OI
Niezov, IE
SIBERIAN MATHEMATICAL JOURNAL, 1998, 39 (02) : 323 - 330
[28] Degenerate Regularization of Forward–Backward Parabolic Equations: The Regularized Problem
Flavia Smarrazzo
Alberto Tesei
Archive for Rational Mechanics and Analysis, 2012, 204 : 85 - 139
[29] Mapped Regularization Methods for the Cauchy Problem of the Helmholtz and Laplace Equations
Shokri Kaveh, Hojjatollah
Adibi, Hojjatollah
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (02): : 669 - 682
[30] Mapped Regularization Methods for the Cauchy Problem of the Helmholtz and Laplace Equations
Hojjatollah Shokri Kaveh
Hojjatollah Adibi
Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 669 - 682

← 1 2 3 4 5 →