5 papers
On Two Species Long Range Segregation in an Annular Domain
Howen Chuah
We consider a system of elliptic equations, depending on a small parameter , which models the long range segregation of populations. The system has been previously studied in…
Group Theoretic Constructions of Singular Set in a Long Range Segregation Model
Howen Chuah
In this paper, we construct several explicit examples of singular sets of Hausdorff dimension in on free boundaries for an elliptic system modeling long rang…
The Free Boundary in a Higher-Dimensional Long-Range Segregation Model
Howen Chuah, Monica Torres
We consider a system of elliptic equations, depending on a small parameter $\eps$, that models long-range segregation of populations. The diffusion is governed by the Laplacian. Th…
A nonlinear model for long-range segregation
Howen Chuah, Stefania Patrizi, Monica Torres
We study a system of fully nonlinear elliptic equations, depending on a small parameter $\eps$, that models long-range segregation of populations. The diffusion is governed by the…
Periodic Points of Diagonal and Permutation Operators
Howen Chuah
We first give a condition for a normal operator on a Hilbert space to have no nonzero periodic points, then we give a characterization of normal operators with the whole space as p…