TY - GEN

T1 - Identification Elliptic Problem with Dirichlet and Integral Conditions

AU - Ashyralyyev, Charyyar

N1 - Publisher Copyright:
© 2021, Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

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.

UR - http://www.scopus.com/inward/record.url?scp=85112209430&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-69292-6_4

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

M3 - Conference contribution

AN - SCOPUS:85112209430

SN - 9783030692919

T3 - Springer Proceedings in Mathematics and Statistics

SP - 63

EP - 73

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

A2 - Ashyralyev, Allaberen

A2 - Kalmenov, Tynysbek Sh.

A2 - Ruzhansky, Michael V.

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 -