34 citations · 63 across the 31 of their papers we have counts for
4 papers · 1 filter
A note on the -solvability of a strongly-coupled nonlocal system of equations
Tadele Mengesha, Miriam Abbate
The goal of this paper is to study the -solvability of the strongly-coupled nonlocal system \[ \mathbb{L} \mathbf{u} (\mathbf{x}) + λ\mathbf{u}(\mathbf{x})= \mathbf{f}(\mathbf…
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…
Nonlinear Nonlocal Diffusion Equations for the Analysis of Continuous Coordination and Anti-Coordination Type Games
John S. McAlister, Nina H. Fefferman, Tadele A. Mengesha
Coordination games with explicit spatial or relational structure are of interest to economists, ecologists, sociologists, and others studying emergent global properties in collecti…
A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma--Convergence
Toai Luong, Tadele Mengesha, Steven M. Wise +1
Diffuse domain methods (DDMs) have gained significant attention for solving partial differential equations (PDEs) on complex geometries. These methods approximate the domain by rep…