Regularization of a continuation problem for electrodynamic equations

Standard

Regularization of a continuation problem for electrodynamic equations. / Romanov, Vladimir G.

In: Journal of Inverse and Ill-Posed Problems, Vol. 28, No. 5, 01.10.2020, p. 751-760.

Research output: Contribution to journal › Article › peer-review

Harvard

Romanov, VG 2020, 'Regularization of a continuation problem for electrodynamic equations', Journal of Inverse and Ill-Posed Problems, vol. 28, no. 5, pp. 751-760. https://doi.org/10.1515/jiip-2020-0012

APA

Romanov, V. G. (2020). Regularization of a continuation problem for electrodynamic equations. Journal of Inverse and Ill-Posed Problems, 28(5), 751-760. https://doi.org/10.1515/jiip-2020-0012

Vancouver

Romanov VG. Regularization of a continuation problem for electrodynamic equations. Journal of Inverse and Ill-Posed Problems. 2020 Oct 1;28(5):751-760. doi: 10.1515/jiip-2020-0012

Author

Romanov, Vladimir G. / Regularization of a continuation problem for electrodynamic equations. In: Journal of Inverse and Ill-Posed Problems. 2020 ; Vol. 28, No. 5. pp. 751-760.

BibTeX

@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",

}

RIS

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 -

ID: 26006261