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

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2020

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DOI 10.31489/2020m3/96-104
Data confidence 85 high
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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¨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.