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math.AP2025
On parameterized nonlocal-fractional transmission problems and associated function spaces
Qiang Du, Zhaolong Han, Tadele Mengesha +2
In this paper, we consider a family of seamlessly coupled nonlocal models associated with transmission conditions across an interface. The models are derived from the variation of…
math.AP2024
Compactness results for a Dirichlet energy of nonlocal gradient with applications
Zhaolong Han, Tadele Mengesha, Xiaochuan Tian
We prove two compactness results for function spaces with finite Dirichlet energy of half-space nonlocal gradients. In each of these results, we provide sufficient conditions on a…