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On Well-posedness of Source Identification Elliptic Problem with Nonlocal Boundary Conditions
(Amer Inst Physics, 2021)
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 ...
Numerical Solution of Time-Nonlocal Problem for Parabolic Equation
(American Institute of Physics Inc., 2022)
In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. ...