Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain

We study the well-posedness of some analogs of the nonlocal Samarskii–Ionkin problem for second-order elliptic equations in Sobolev spaces. For the problems in question, existence and uniqueness theorems are proved for regular solutions, i.e., solutions that have all generalized Sobolev derivatives...

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Veröffentlicht in:	Differential equations 2023-02, Vol.59 (2), p.230-242
Hauptverfasser:	Kozhanov, A. I., Dyuzheva, A. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Differential equations Elliptic functions Existence theorems Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Sobolev space Uniqueness theorems Well posed problems
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