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Abstract <p>In this paper, we investigate a nonlocal boundary value problem (BVP) with the Samarskii–Ionkin condition for elliptic equations (EEs) in a Banach space involving a positive operator. The main result establishes the well-posedness of the problem. Additionally, coercive stability estimates are proven for solutions to three types of nonlocal BVPs with the Samarskii–Ionkin condition for EEs.</p>

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

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. Ashyralyev

摘要

Abstract

In this paper, we investigate a nonlocal boundary value problem (BVP) with the Samarskii–Ionkin condition for elliptic equations (EEs) in a Banach space involving a positive operator. The main result establishes the well-posedness of the problem. Additionally, coercive stability estimates are proven for solutions to three types of nonlocal BVPs with the Samarskii–Ionkin condition for EEs.