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math.AP2021
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…
math.AP2018
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…
math.AP2017
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…