Ashyralyev, AllaberenAshyralyev, Charyyar2024-07-122024-07-122019Ashyralyev, A. ve Ashralyev, Charyyar. (2019). Well-posedness of source identification problem for the elliptic equation in a Banach space.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2125In the present paper, the source identification elliptic problem, with a positive operator A in an arbitrary Banach space E is studied. Here smooth function f : [0, T] ? E and elements ?, ?, ? are given. The exact estimates for solution of identification problem are established in H¨older norms. In applications, coercive stability estimates for the solution of three elliptic boundary value problems are obtained.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessElliptic equationsSource identificationPositivityExact estimatesCoercive stabilityArticle121120