Well-posedness of Neumann-type elliptic overdetermined problem with integral condition

Charyyar Ashyralyyev; Aysel Çay

doi:10.1063/1.5049020

Well-posedness of Neumann-type elliptic overdetermined problem with integral condition

Charyyar Ashyralyyev, Aysel Çay

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

13 Citations (Scopus)

Abstract

The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.

Original language	English
Title of host publication	International Conference on Analysis and Applied Mathematics, ICAAM 2018
Editors	Allaberen Ashyralyev, Makhmud Sadybekov, Alexey Lukashov, Allaberen Ashyralyev
Publisher	American Institute of Physics Inc.
ISBN (Print)	9780735417137
DOIs	https://doi.org/10.1063/1.5049020
Publication status	Published - 6 Aug 2018
Externally published	Yes
Event	4th International Conference on Analysis and Applied Mathematics, ICAAM 2018 - Mersin 10, Turkey Duration: 6 Sept 2018 → 9 Sept 2018

Publication series

Name	AIP Conference Proceedings
Volume	1997
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	4th International Conference on Analysis and Applied Mathematics, ICAAM 2018
Country/Territory	Turkey
City	Mersin 10
Period	6/09/18 → 9/09/18

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10.1063/1.5049020

Cite this

Ashyralyyev, C., & Çay, A. (2018). Well-posedness of Neumann-type elliptic overdetermined problem with integral condition. In A. Ashyralyev, M. Sadybekov, A. Lukashov, & A. Ashyralyev (Eds.), International Conference on Analysis and Applied Mathematics, ICAAM 2018 Article 020026 (AIP Conference Proceedings; Vol. 1997). American Institute of Physics Inc.. https://doi.org/10.1063/1.5049020

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Ashyralyyev, C & Çay, A 2018, Well-posedness of Neumann-type elliptic overdetermined problem with integral condition. in A Ashyralyev, M Sadybekov, A Lukashov & A Ashyralyev (eds), International Conference on Analysis and Applied Mathematics, ICAAM 2018., 020026, AIP Conference Proceedings, vol. 1997, American Institute of Physics Inc., 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018, Mersin 10, Turkey, 6/09/18. https://doi.org/10.1063/1.5049020

Well-posedness of Neumann-type elliptic overdetermined problem with integral condition. / Ashyralyyev, Charyyar; Çay, Aysel.
International Conference on Analysis and Applied Mathematics, ICAAM 2018. ed. / Allaberen Ashyralyev; Makhmud Sadybekov; Alexey Lukashov; Allaberen Ashyralyev. American Institute of Physics Inc., 2018. 020026 (AIP Conference Proceedings; Vol. 1997).

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

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N2 - The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.

AB - The current paper is devoted to overdetermined elliptic problem with integral condition for derivatives. This overde-termined problem is converted to auxiliary nonlocal boundary value problem (ANBVP) with integral boundary condition. Well-posedness of abstract problem is established. Then, obtained results are used to obtain stability inequalities for solution of three Neumann-type inverse elliptic problems with integral condition to multidimensional differential equation.

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Y2 - 6 September 2018 through 9 September 2018

ER -

Well-posedness of Neumann-type elliptic overdetermined problem with integral condition

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