On well-posedness of source identification elliptic problem with nonlocal boundary conditions

Allaberen Ashyralyev; Charyyar Ashyralyyev; Viktor G. Zvyagin

doi:10.1063/5.0040281

On well-posedness of source identification elliptic problem with nonlocal boundary conditions

Allaberen Ashyralyev, Charyyar Ashyralyyev, Viktor G. Zvyagin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution of this problem in Hölder norms are established.

Original language	English
Title of host publication	International Conference on Analysis and Applied Mathematics, ICAAM 2020
Editors	Allaberen Ashyralyev, Allaberen Ashyralyev, Allaberen Ashyralyev, Charyyar Ashralyyev, Abdullah S. Erdogan, Alexey Lukashov, Alexey Lukashov, Makhmud Sadybekov
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735440692
DOIs	https://doi.org/10.1063/5.0040281
Publication status	Published - 9 Feb 2021
Externally published	Yes
Event	5th International Conference on Analysis and Applied Mathematics, ICAAM 2020 - Mersin, Turkey Duration: 23 Sept 2020 → 30 Sept 2020

Publication series

Name	AIP Conference Proceedings
Volume	2325
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	5th International Conference on Analysis and Applied Mathematics, ICAAM 2020
Country/Territory	Turkey
City	Mersin
Period	23/09/20 → 30/09/20

Access to Document

10.1063/5.0040281

Cite this

Ashyralyev, A., Ashyralyyev, C., & Zvyagin, V. G. (2021). On well-posedness of source identification elliptic problem with nonlocal boundary conditions. In A. Ashyralyev, A. Ashyralyev, A. Ashyralyev, C. Ashralyyev, A. S. Erdogan, A. Lukashov, A. Lukashov, & M. Sadybekov (Eds.), International Conference on Analysis and Applied Mathematics, ICAAM 2020 Article 020021 (AIP Conference Proceedings; Vol. 2325). American Institute of Physics Inc.. https://doi.org/10.1063/5.0040281

Ashyralyev, Allaberen ; Ashyralyyev, Charyyar ; Zvyagin, Viktor G. / On well-posedness of source identification elliptic problem with nonlocal boundary conditions. International Conference on Analysis and Applied Mathematics, ICAAM 2020. editor / Allaberen Ashyralyev ; Allaberen Ashyralyev ; Allaberen Ashyralyev ; Charyyar Ashralyyev ; Abdullah S. Erdogan ; Alexey Lukashov ; Alexey Lukashov ; Makhmud Sadybekov. American Institute of Physics Inc., 2021. (AIP Conference Proceedings).

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title = "On well-posedness of source identification elliptic problem with nonlocal boundary conditions",

abstract = "We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution of this problem in H{\"o}lder norms are established.",

author = "Allaberen Ashyralyev and Charyyar Ashyralyyev and Zvyagin, {Viktor G.}",

note = "Publisher Copyright: {\textcopyright} 2021 Author(s).; 5th International Conference on Analysis and Applied Mathematics, ICAAM 2020 ; Conference date: 23-09-2020 Through 30-09-2020",

year = "2021",

month = feb,

day = "9",

doi = "10.1063/5.0040281",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Allaberen Ashyralyev and Allaberen Ashyralyev and Allaberen Ashyralyev and Charyyar Ashralyyev and Erdogan, {Abdullah S.} and Alexey Lukashov and Alexey Lukashov and Makhmud Sadybekov",

booktitle = "International Conference on Analysis and Applied Mathematics, ICAAM 2020",

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Ashyralyev, A , Ashyralyyev, C & Zvyagin, VG 2021, On well-posedness of source identification elliptic problem with nonlocal boundary conditions. in A Ashyralyev, A Ashyralyev, A Ashyralyev, C Ashralyyev, AS Erdogan, A Lukashov, A Lukashov & M Sadybekov (eds), International Conference on Analysis and Applied Mathematics, ICAAM 2020., 020021, AIP Conference Proceedings, vol. 2325, American Institute of Physics Inc., 5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Turkey, 23/09/20. https://doi.org/10.1063/5.0040281

On well-posedness of source identification elliptic problem with nonlocal boundary conditions. / Ashyralyev, Allaberen ; Ashyralyyev, Charyyar; Zvyagin, Viktor G.
International Conference on Analysis and Applied Mathematics, ICAAM 2020. ed. / Allaberen Ashyralyev; Allaberen Ashyralyev; Allaberen Ashyralyev; Charyyar Ashralyyev; Abdullah S. Erdogan; Alexey Lukashov; Alexey Lukashov; Makhmud Sadybekov. American Institute of Physics Inc., 2021. 020021 (AIP Conference Proceedings; Vol. 2325).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution of this problem in Hölder norms are established.

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AN - SCOPUS:85101619370

T3 - AIP Conference Proceedings

BT - International Conference on Analysis and Applied Mathematics, ICAAM 2020

A2 - Ashyralyev, Allaberen

A2 - Ashralyyev, Charyyar

A2 - Erdogan, Abdullah S.

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PB - American Institute of Physics Inc.

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Ashyralyev A , Ashyralyyev C, Zvyagin VG. On well-posedness of source identification elliptic problem with nonlocal boundary conditions. In Ashyralyev A, Ashyralyev A, Ashyralyev A, Ashralyyev C, Erdogan AS, Lukashov A, Lukashov A, Sadybekov M, editors, International Conference on Analysis and Applied Mathematics, ICAAM 2020. American Institute of Physics Inc. 2021. 020021. (AIP Conference Proceedings). doi: 10.1063/5.0040281

On well-posedness of source identification elliptic problem with nonlocal boundary conditions

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