2 citations · 2 across the 3 of their papers we have counts for
4 papers
The principal eigenvalue of a mixed local and nonlocal operator with drift
Craig Cowan, Mohammad El Smaily, Pierre Aime Feulefack
We study the eigenvalue problem involving the mixed local-nonlocal operator ~ in a bounded domain where a Dirichlet condition is pose…
Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion
Craig Cowan, Mohammad El Smaily, Pierre Aime Feulefack
In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness…
Asymptotic regimes of an integro-difference equation with discontinuous kernel
Omar Abdul Halim, Mohammad El Smaily
This paper is concerned with an integral equation that models discrete time dynamics of a population in a patchy landscape. The patches in the domain are reflected through the disc…
A refined description of evolving interfaces in certain nonlinear wave equations
Mohammad El Smaily, Robert L. Jerrard
We improve on recent results that establish the existence of solutions of certain semilinear wave equations possessing an interface that roughly sweeps out a timelike surface of va…