A note on well-posedness of source identification elliptic problem in a Banach space

A. Ashyralyev; C. Ashyralyyev; V. G. Zvyagin

doi:10.31489/2020M3/96-104

A note on well-posedness of source identification elliptic problem in a Banach space

A. Ashyralyev, C. Ashyralyyev, V. G. Zvyagin

Research output: Contribution to journal › Article › peer-review

Abstract

We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

Original language	English
Pages (from-to)	96-104
Number of pages	9
Journal	Bulletin of the Karaganda University. Mathematics Series
Volume	99
Issue number	3
DOIs	https://doi.org/10.31489/2020M3/96-104
Publication status	Published - 2020
Externally published	Yes

Keywords

boundary value problem
coercive stability
elliptic equations
exact estimates
positivity
source identification
well-posedness

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10.31489/2020M3/96-104

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abstract = "We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H{\"o}lder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.",

keywords = "boundary value problem, coercive stability, elliptic equations, exact estimates, positivity, source identification, well-posedness",

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AU - Ashyralyev, A.

AU - Ashyralyyev, C.

AU - Zvyagin, V. G.

PY - 2020

Y1 - 2020

N2 - We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

AB - We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in Hölder norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

KW - boundary value problem

KW - coercive stability

KW - elliptic equations

KW - exact estimates

KW - positivity

KW - source identification

KW - well-posedness

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JO - Bulletin of the Karaganda University. Mathematics Series

JF - Bulletin of the Karaganda University. Mathematics Series

IS - 3

ER -

A note on well-posedness of source identification elliptic problem in a Banach space

Abstract

Keywords

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