32 citations · 32 across the 7 of their papers we have counts for
9 papers
Banach's Indicatrix Reloaded
Ikemefuna Agbanusi
Banach famously related the smoothness of a function to the size of its level sets. More precisely, he showed that a continuous function is of bounded variation exactly when its "i…
On the Smoothness of Zero-Extensions
Ikemefuna Agbanusi
This note investigates the regularity of zero-extensions of functions from bounded domains. Simple examples show the possibility of a loss in smoothness and our goal is to qu…
A Comparison of Bessel and Riesz Potentials
Ikemefuna Agbanusi
How large is the Bessel potential, , compared to the Riesz potential, ? In this paper, we show that if with and , then the following inte…
A Note on Moser Iteration and the Large Coupling Limit
Ikemefuna Agbanusi
We consider heat semigroups of the form on bounded domains. These singularly perturbed equations arise in certain models of diffusion limited chemic…
A moment inequality and positivity for signed graph Laplacians
Ikemefuna Agbanusi, Jared C. Bronski, Derek Kielty
A number of recent papers have considered signed graph Laplacians, a generalization of the classical graph Laplacian, where the edge weights are allowed to take either sign. In the…
Emergence of Balance from a model of Social Dynamics
Ikemefuna Agbanusi, Jared C. Bronski
We propose a model for social dynamics on a network. In this model each actor holds a position on some issue, actors and their opinions being associated to vertices of the graph, a…
Pseudo-differential Operators, Transmission Problems and the Large Coupling Limit
Ikemefuna Agbanusi
In this paper we prove some new results and give new proofs of known results related to the large coupling limit for stationary Schrödinger operators. The operators we consider are…
Rate of Convergence for Large Coupling Limits in Sobolev Spaces
Ikemefuna Agbanusi
We estimate the rate of convergence, in the so-called large coupling limit, for Schrödinger type operators on bounded domains. The Schrödinger we deal with have "interaction potent…
A Comparison of Bimolecular Reaction Models for Stochastic Reaction Diffusion Systems
Ikemefuna C. Agbanusi, Samuel A. Isaacson
Stochastic reaction-diffusion models have become an important tool in studying how both noise in the chemical reaction process and the spatial movement of molecules influences the…