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

Allaberen Ashyralyev | Zendy; Charyyar Ashyralyyev | Zendy; V. G. Zvyagin | Zendy

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

Author(s) -

Allaberen Ashyralyev,

Charyyar Ashyralyyev,

V. G. Zvyagin

Publication year - 2020

Publication title -

bulletin of the karaganda university-mathematics

Language(s) - English

Resource type - Journals

eISSN - 2663-5011

pISSN - 2518-7929

DOI - 10.31489/2020m3/96-104

Subject(s) - banach space , identification (biology) , parameter identification problem , mathematics , elliptic partial differential equation , mathematical analysis , stability (learning theory) , elliptic curve , space (punctuation) , differential equation , computer science , model parameter , botany , machine learning , biology , operating system

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¨older 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.

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