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

Matematik

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	96-104
Sayfa sayısı	9
Dergi	Bulletin of the Karaganda University. Mathematics Series
Hacim	99
Basın numarası	3
DOI'lar	https://doi.org/10.31489/2020M3/96-104
Yayın durumu	Yayınlanan - 2020

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10.31489/2020M3/96-104

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Bundan alıntı yap

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title = "A note on well-posedness of source identification elliptic problem in a Banach space",

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",

author = "A. Ashyralyev and C. Ashyralyyev and Zvyagin, {V. G.}",

year = "2020",

doi = "10.31489/2020M3/96-104",

language = "English",

volume = "99",

pages = "96--104",

journal = "Bulletin of the Karaganda University. Mathematics Series",

issn = "2518-7929",

publisher = "E.A.Buketov Karaganda State University Publish House",

number = "3",

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TY - JOUR

T1 - A note on well-posedness of source identification elliptic problem in a Banach space

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

UR - http://www.scopus.com/inward/record.url?scp=85153782083&partnerID=8YFLogxK

U2 - 10.31489/2020M3/96-104

DO - 10.31489/2020M3/96-104

M3 - Article

AN - SCOPUS:85153782083

SN - 2518-7929

VL - 99

SP - 96

EP - 104

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

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