34 citations · 63 across the 31 of their papers we have counts for
34 papers
The -Limit Problem: Convergence of a Linear Degenerate Interface Transmission Problem
Toai Luong, Tadele Mengesha, Kerrek Stinson +2
We study the singular limit of a family of linear degenerate interface transmission problems arising from a regularization procedure in the newly proposed Two-Parameter Diffuse Dom…
Self-improving properties for a class of elliptic and parabolic equations on bounded domains
Tadele Mengesha, Abner J. Salgado
We discuss self improving properties of some local and nonlocal, elliptic and parabolic, equations on bounded domains. We employ a functional analytic approach wherein the solution…
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…