Work

Maximal Hölder Regularity of Elliptic Transmission Problems in Unbounded Domains

Year: 2025
Type: article
Abstract: In the present paper, we study a class of abstract elliptic transmission problems family, posed in unbounded heterogeneous domains ]-∞, δ], with non-homogeneous Dirichlet boundary conditions at -∞, when the right-hand side is a Hölder continuous function.Our approach is based on the generalized analytic semigroup theory and Sinestrari's results, to ensure existence, uniqueness, and maximal regularity of the strict solution.
Language: English
Open Access status: diamond
OpenAlex ID: W4412505393
FWCI:
Cites: 11
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Related to: 10