On the Well-Posedness of the Nonlocal BVP with the Samarskii–Ionkin Condition for Elliptic Differential Equations

Key Points

• The main aim is to establish the well-posedness of a nonlocal boundary value problem under a specific condition.
• Investigated a nonlocal boundary value problem (BVP) for elliptic equations in a Banach space.
• Utilized the Samarskii–Ionkin condition in the analysis.
• Proven coercive stability estimates for solutions.
• Demonstrated well-posedness for the formulated nonlocal BVP.
• Provided stability estimates for solutions to three types of nonlocal BVPs.