International Journal of Analysis and Applications | 2026
Authors: Rabah M.; Haoua R.; Andasmas M.
DOI: 10.28924/2291-8639-24-2026-33
Journal: International Journal of Analysis and Applications
Year: 2026
Publisher: Etamaths Publishing
Document Type: Article
Open Access: All Open Access; Gold Open Access
Cited by: 0
In this paper, we study a class of second-order abstract differential equation problems of the elliptic type with operator coefficients with general Robin boundary conditions in a non-commutative setting, i.e the unbounded linear operator in the equation does not commute with the one that appears in the boundary conditions containing two spectral complex parameters. We study the case when the second member belongs to the Hölder space. We give necessary and sufficient conditions of compatibility to obtain a strict solution and also to ensure that the strict solution has the maximal regularity property. This paper is naturally the continuation of the ones studied in [16] and [10]. © 2026 the author(s).
analytic semigroup; maximal regularity; Robin boundary conditions in non commutative cases; Second-order abstract elliptic differential equations