Brian Chao

collaborators

2 papers

math.AP2025

Dirichlet eigenfunction and heat kernel estimates on annular domains

Brian Chao, Laurent Saloff-Coste

Motivated by Euclidean boxes, we consider "thin" annular domains of the form $U = (a, b) \times U_{0} \subseteq R^{n}$ in polar coordinates, where the spherical base $U_0\subseteq…

math.PR2025

Perturbing the principal Dirichlet eigenfunction

Brian Chao, Laurent Saloff-Coste

We study the principal Dirichlet eigenfunction $I ¨ _{U}$ when the domain $U$ is a perturbation of a bounded inner uniform domain in a strictly local regular Dirichlet space. We prove…