Contents V.16 N.1 2025

  • ON THE WELL-POSEDNESS OF ELLIPTIC EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
    A. ASHYRALYEV, A. HAMAD (pp. 59-70)
    10.30546/2219-1259.16.1.2025.59

    • Abstract.

    In this paper, we study the abstract nonlocal boundary value problem for the elliptic equation in an arbitrary Banach space with the positive operator. We establish the well posedness of this nonlocal boundary value problem across several Banach spaces. Additionally, we derive new Schauder types of coercive stability estimates for the solutions of several nonlocal boundary value problems involving elliptic equations.

    Keywords:

    coercive stability, well-posedness, positive operators, elliptic differential equations, nonlocal boundary value problems.

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