Regularization of a continuation problem for electrodynamic equations

Vladimir G. Romanov

doi:10.1515/jiip-2020-0012

Regularization of a continuation problem for electrodynamic equations

Vladimir G. Romanov

Международный научно-образовательный математический центр НГУ (ММЦ)

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = { x ∈ R 3 |x 3 = 0 } inside the half-space R + 3 = { x ∈ R 3 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.

Язык оригинала	английский
Страницы (с-по)	751-760
Число страниц	10
Журнал	Journal of Inverse and Ill-Posed Problems
Том	28
Номер выпуска	5
DOI	https://doi.org/10.1515/jiip-2020-0012
Состояние	Опубликовано - 1 окт 2020

Доступ к документу

10.1515/jiip-2020-0012

Ссылка на публикацию в Scopus

Fingerprint Подробные сведения о темах исследования «Regularization of a continuation problem for electrodynamic equations». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{5c6f7c85fb0c4eeb984a50d63609bb39,

title = "Regularization of a continuation problem for electrodynamic equations",

abstract = "The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = { x ∈ R 3 |x 3 = 0 } inside the half-space R + 3 = { x ∈ R 3 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.",

keywords = "continuation problem, Maxwell equations, regularization, SOLVABILITY, INVERSE PROBLEMS",

author = "Romanov, {Vladimir G.}",

year = "2020",

month = oct,

day = "1",

doi = "10.1515/jiip-2020-0012",

language = "English",

volume = "28",

pages = "751--760",

journal = "Journal of Inverse and Ill-Posed Problems",

issn = "0928-0219",

publisher = "Walter de Gruyter GmbH",

number = "5",

}

TY - JOUR

T1 - Regularization of a continuation problem for electrodynamic equations

AU - Romanov, Vladimir G.

PY - 2020/10/1

Y1 - 2020/10/1

N2 - The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = { x ∈ R 3 |x 3 = 0 } inside the half-space R + 3 = { x ∈ R 3 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.

AB - The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S = { x ∈ R 3 |x 3 = 0 } inside the half-space R + 3 = { x ∈ R 3 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.

KW - continuation problem

KW - Maxwell equations

KW - regularization

KW - SOLVABILITY

KW - INVERSE PROBLEMS

UR - http://www.scopus.com/inward/record.url?scp=85094174921&partnerID=8YFLogxK

U2 - 10.1515/jiip-2020-0012

DO - 10.1515/jiip-2020-0012

M3 - Article

AN - SCOPUS:85094174921

VL - 28

SP - 751

EP - 760

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 5

ER -