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Inverse problems of finding the lowest coefficient in the elliptic equation. / Kozhanov, Alexander I.; Shipina, Tatyana N.

в: Journal of Siberian Federal University - Mathematics and Physics, Том 14, № 4, 15, 2021, стр. 528-542.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Kozhanov, AI & Shipina, TN 2021, 'Inverse problems of finding the lowest coefficient in the elliptic equation', Journal of Siberian Federal University - Mathematics and Physics, Том. 14, № 4, 15, стр. 528-542. https://doi.org/10.17516/1997-1397-2021-14-4-528-542

APA

Kozhanov, A. I., & Shipina, T. N. (2021). Inverse problems of finding the lowest coefficient in the elliptic equation. Journal of Siberian Federal University - Mathematics and Physics, 14(4), 528-542. [15]. https://doi.org/10.17516/1997-1397-2021-14-4-528-542

Vancouver

Kozhanov AI, Shipina TN. Inverse problems of finding the lowest coefficient in the elliptic equation. Journal of Siberian Federal University - Mathematics and Physics. 2021;14(4):528-542. 15. doi: 10.17516/1997-1397-2021-14-4-528-542

Author

Kozhanov, Alexander I. ; Shipina, Tatyana N. / Inverse problems of finding the lowest coefficient in the elliptic equation. в: Journal of Siberian Federal University - Mathematics and Physics. 2021 ; Том 14, № 4. стр. 528-542.

BibTeX

@article{0a82ee7dcbe54a948ebbece8a265c853,
title = "Inverse problems of finding the lowest coefficient in the elliptic equation",
abstract = "The article is devoted to the study of problems of finding the non-negative coefficient q(t) in the elliptic equation utt + a2∆u − q(t)u = f(x, t) (x = (x1, …, xn) ∈ Ω ⊂ ℝn, t ∈ (0, T ), 0 < T < +∞, ∆ — operator Laplace on x1, …, xn). These problems contain the usual boundary conditions and additional condition ( spatial integral overdetermination condition or boundary integral overdetermination condition). The theorems of existence and uniqueness are proved.",
keywords = "Boundary integral condition, Elliptic equation, Existence, Spatial integral condition, Uniqueness, Unknown coefficient",
author = "Kozhanov, {Alexander I.} and Shipina, {Tatyana N.}",
note = "Funding Information: The work is supported by the Russian Foundation basic research (grant 18-01-00620). Publisher Copyright: {\textcopyright} Siberian Federal University. All rights reserved.",
year = "2021",
doi = "10.17516/1997-1397-2021-14-4-528-542",
language = "English",
volume = "14",
pages = "528--542",
journal = "Journal of Siberian Federal University - Mathematics and Physics",
issn = "1997-1397",
publisher = "Siberian Federal University",
number = "4",

}

RIS

TY - JOUR

T1 - Inverse problems of finding the lowest coefficient in the elliptic equation

AU - Kozhanov, Alexander I.

AU - Shipina, Tatyana N.

N1 - Funding Information: The work is supported by the Russian Foundation basic research (grant 18-01-00620). Publisher Copyright: © Siberian Federal University. All rights reserved.

PY - 2021

Y1 - 2021

N2 - The article is devoted to the study of problems of finding the non-negative coefficient q(t) in the elliptic equation utt + a2∆u − q(t)u = f(x, t) (x = (x1, …, xn) ∈ Ω ⊂ ℝn, t ∈ (0, T ), 0 < T < +∞, ∆ — operator Laplace on x1, …, xn). These problems contain the usual boundary conditions and additional condition ( spatial integral overdetermination condition or boundary integral overdetermination condition). The theorems of existence and uniqueness are proved.

AB - The article is devoted to the study of problems of finding the non-negative coefficient q(t) in the elliptic equation utt + a2∆u − q(t)u = f(x, t) (x = (x1, …, xn) ∈ Ω ⊂ ℝn, t ∈ (0, T ), 0 < T < +∞, ∆ — operator Laplace on x1, …, xn). These problems contain the usual boundary conditions and additional condition ( spatial integral overdetermination condition or boundary integral overdetermination condition). The theorems of existence and uniqueness are proved.

KW - Boundary integral condition

KW - Elliptic equation

KW - Existence

KW - Spatial integral condition

KW - Uniqueness

KW - Unknown coefficient

UR - http://www.scopus.com/inward/record.url?scp=85115147762&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=46403004

U2 - 10.17516/1997-1397-2021-14-4-528-542

DO - 10.17516/1997-1397-2021-14-4-528-542

M3 - Article

AN - SCOPUS:85115147762

VL - 14

SP - 528

EP - 542

JO - Journal of Siberian Federal University - Mathematics and Physics

JF - Journal of Siberian Federal University - Mathematics and Physics

SN - 1997-1397

IS - 4

M1 - 15

ER -

ID: 34257243