On Well-posedness of Source Identification Elliptic Problem with Nonlocal Boundary Conditions
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A. Ashyralyev, C. Ashyralyyev, V. G. Zvyagin, On well-posedness of source identification elliptic problem with nonlocal boundary conditions, AIP Conf. Proc. 2325, 020021-1–020021-3; https://doi.org/10.1063/5.0040281Abstract
We study the well-posedness of the source identification problem for the two dimensional elliptic differential equation with nonlocal boundary conditions. Applying operator approaches, the exact estimates for the solution of this problem in Holder norms are established.