234 citations · 532 across the 4 of their papers we have counts for
4 papers
Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients
Jerome Coville, Nicolas Dirr, Stephan Luckhaus
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semi-linear pa…
On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
Jerome Coville
In this paper we are interested in the existence of a principal eigenfunction of a nonlocal operator which appears in the description of various phenomena ranging from population d…
Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
Let , , $\int_{\tiny$\mathbb{R}$} J = 1$ and consider the nonlocal diffusion operator . We study the equation $\mathcal…
Nonlocal anisotropic dispersal with monostable nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
We study the travelling wave problem J\astu - u - cu' + f (u) = 0 in R, u(-\infty) = 0, u(+\infty) = 1 with an asymmetric kernel J and a monostable nonlinearity. We prove the exist…