52 citations · 85 across the 10 of their papers we have counts for
14 papers
On regularity of averaged Green's functions in homogenization of elliptic PDE
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with establishing estimates on averaged Green's functions for a uniformly elliptic divergence form partial difference equation with random coefficients on t…
Extensions of the Brascamp-Lieb Inequality and the Dipole Gas
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with lattice field models in dimension at least 2. The action is a uniformly convex function of the gradient of the field. The main result Theorem 1.4 prove…
On Global Asymptotic Stability for the diffusive Carr-Penrose Model
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with large time behavior of the solution to a diffusive perturbation of the linear LSW model introduced by Carr and Penrose. Like the LSW model, the Carr-Pe…
On Properties of the Dirichlet Green's function for linear diffusions on a half line
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with the study of Green's functions for one dimensional diffusions with constant diffusion coefficient and linear time inhomogeneous drift. It is well know…
On Global Asymptotic Stability for the LSW Model with subcritical initial data
Joseph G. Conlon, Michael Dabkowski
The main result of the paper is a global asymptotic stability result for solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. This extends some local asymptotic sta…
Global Stability for a Class of Nonlinear PDE with non-local term
Joseph G. Conlon, Michael Dabkowski
This paper is concerned with establishing global asymptotic stability results for a class of non-linear PDE which have some similarity to the PDE of the Lifschitz-Slyozov-Wagner mo…