Open AccessA note on well-posedness of source identification elliptic problem in a Banach space
Author(s) -
Allaberen Ashyralyev,
Charyyar Ashyralyyev,
V. G. Zvyagin,
Ashgabat Tau
Publication year - 2020
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
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.