Well-Posedness of the Boundary Value Problem for the Involuntary Elliptic Equation

2026

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DOI 10.1134/s1995080225616121
Data confidence 70 medium
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Abstract

In the present paper, the boundary value problem for the involuntary elliptic equation in a Banach space with a positive operator is investigated. The main theorem on well-posedness of this problem is established. In practice, the coercive stability estimates for solution of several types of boundary value problems for elliptic differential equations are proved.