177 citations · 394 across the 3 of their papers we have counts for
3 papers
math.AP2013★ 108 cited
Pulsating fronts for nonlocal dispersion and KPP nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
In this paper we are interested in propagation phenomena for nonlocal reaction-diffusion equations of the type: , where J is…
math.AP2011★ 109 cited
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…
math.AP2011★ 177 cited
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…