Identification Elliptic Problem with Dirichlet and Integral Conditions

Charyyar Ashyralyyev

doi:10.1007/978-3-030-69292-6_4

Identification Elliptic Problem with Dirichlet and Integral Conditions

Charyyar Ashyralyyev

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

3 Citations (Scopus)

Abstract

In the present paper, identification elliptic problem in a Hilbert space with Dirichlet and integral boundary conditions is discussed. Identification problem is reduced to auxiliary nonlocal boundary value problem with nonlocal integral condition. Operator approach is used to prove stability and coercive stability inequalities for solution of source identification elliptic problem in the case of a self-adjoint positive definite operator in a differential equation. As applications, four mixed boundary value problems for strongly elliptic multidimensional partial differential equation are investigated. Theorems on stability of solutions of these boundary value problems are established.

Original language	English
Title of host publication	Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018
Editors	Allaberen Ashyralyev, Tynysbek Sh. Kalmenov, Michael V. Ruzhansky, Michael V. Ruzhansky, Makhmud A. Sadybekov, Durvudkhan Suragan
Publisher	Springer
Pages	63-73
Number of pages	11
ISBN (Print)	9783030692919
DOIs	https://doi.org/10.1007/978-3-030-69292-6_4
Publication status	Published - 2021
Externally published	Yes
Event	4th International Conference on Analysis and Applied Mathematics, ICAAM 2018 - Mersin, Turkey Duration: 6 Sept 2018 → 9 Sept 2018

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	351
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

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

Access to Document

10.1007/978-3-030-69292-6_4

Cite this

Ashyralyyev, C. (2021). Identification Elliptic Problem with Dirichlet and Integral Conditions. In A. Ashyralyev, T. S. Kalmenov, M. V. Ruzhansky, M. V. Ruzhansky, M. A. Sadybekov, & D. Suragan (Eds.), Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018 (pp. 63-73). (Springer Proceedings in Mathematics and Statistics; Vol. 351). Springer. https://doi.org/10.1007/978-3-030-69292-6_4

Ashyralyyev, Charyyar. / Identification Elliptic Problem with Dirichlet and Integral Conditions. Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018. editor / Allaberen Ashyralyev ; Tynysbek Sh. Kalmenov ; Michael V. Ruzhansky ; Michael V. Ruzhansky ; Makhmud A. Sadybekov ; Durvudkhan Suragan. Springer, 2021. pp. 63-73 (Springer Proceedings in Mathematics and Statistics).

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title = "Identification Elliptic Problem with Dirichlet and Integral Conditions",

abstract = "In the present paper, identification elliptic problem in a Hilbert space with Dirichlet and integral boundary conditions is discussed. Identification problem is reduced to auxiliary nonlocal boundary value problem with nonlocal integral condition. Operator approach is used to prove stability and coercive stability inequalities for solution of source identification elliptic problem in the case of a self-adjoint positive definite operator in a differential equation. As applications, four mixed boundary value problems for strongly elliptic multidimensional partial differential equation are investigated. Theorems on stability of solutions of these boundary value problems are established.",

author = "Charyyar Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018 ; Conference date: 06-09-2018 Through 09-09-2018",

year = "2021",

doi = "10.1007/978-3-030-69292-6_4",

language = "English",

isbn = "9783030692919",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "63--73",

editor = "Allaberen Ashyralyev and Kalmenov, {Tynysbek Sh.} and Ruzhansky, {Michael V.} and Ruzhansky, {Michael V.} and Sadybekov, {Makhmud A.} and Durvudkhan Suragan",

booktitle = "Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018",

}

Ashyralyyev, C 2021, Identification Elliptic Problem with Dirichlet and Integral Conditions. in A Ashyralyev, TS Kalmenov, MV Ruzhansky, MV Ruzhansky, MA Sadybekov & D Suragan (eds), Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018. Springer Proceedings in Mathematics and Statistics, vol. 351, Springer, pp. 63-73, 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018, Mersin, Turkey, 6/09/18. https://doi.org/10.1007/978-3-030-69292-6_4

Identification Elliptic Problem with Dirichlet and Integral Conditions. / Ashyralyyev, Charyyar.
Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018. ed. / Allaberen Ashyralyev; Tynysbek Sh. Kalmenov; Michael V. Ruzhansky; Michael V. Ruzhansky; Makhmud A. Sadybekov; Durvudkhan Suragan. Springer, 2021. p. 63-73 (Springer Proceedings in Mathematics and Statistics; Vol. 351).

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

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PY - 2021

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N2 - In the present paper, identification elliptic problem in a Hilbert space with Dirichlet and integral boundary conditions is discussed. Identification problem is reduced to auxiliary nonlocal boundary value problem with nonlocal integral condition. Operator approach is used to prove stability and coercive stability inequalities for solution of source identification elliptic problem in the case of a self-adjoint positive definite operator in a differential equation. As applications, four mixed boundary value problems for strongly elliptic multidimensional partial differential equation are investigated. Theorems on stability of solutions of these boundary value problems are established.

AB - In the present paper, identification elliptic problem in a Hilbert space with Dirichlet and integral boundary conditions is discussed. Identification problem is reduced to auxiliary nonlocal boundary value problem with nonlocal integral condition. Operator approach is used to prove stability and coercive stability inequalities for solution of source identification elliptic problem in the case of a self-adjoint positive definite operator in a differential equation. As applications, four mixed boundary value problems for strongly elliptic multidimensional partial differential equation are investigated. Theorems on stability of solutions of these boundary value problems are established.

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DO - 10.1007/978-3-030-69292-6_4

M3 - Conference contribution

AN - SCOPUS:85112209430

SN - 9783030692919

T3 - Springer Proceedings in Mathematics and Statistics

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BT - Functional Analysis in Interdisciplinary Applications—II - ICAAM, 2018

A2 - Ashyralyev, Allaberen

A2 - Kalmenov, Tynysbek Sh.

A2 - Ruzhansky, Michael V.

A2 - Sadybekov, Makhmud A.

A2 - Suragan, Durvudkhan

PB - Springer

T2 - 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018

Y2 - 6 September 2018 through 9 September 2018

ER -

Identification Elliptic Problem with Dirichlet and Integral Conditions

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