12 citations · 36 across the 14 of their papers we have counts for
16 papers
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…
A non-local problem for the Fokker-Planck equation related to the Becker-Döring model
Joseph G. Conlon, André Schlichting
This paper concerns a Fokker-Planck equation on the positive real line modeling nucleation and growth of clusters. The main feature of the equation is the dependence of the driving…
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…
Green's function for elliptic systems: existence and Delmotte-Deuschel bounds
Joseph G. Conlon, Arianna Giunti, Felix Otto
We prove that for an open domain with , for every (measurable) uniformly elliptic tensor field and for almost every point , ther…