234 citations · 706 across the 25 of their papers we have counts for
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A simple flattening lower bound for solutions to some linear integrodifferential equations
Emeric Bouin, Jérôme Coville, Guillaume Legendre
Estimates on the asymptotic behaviour of solution to linear integro-differential equations are fundamental in understanding the dynamics occuring in many nonlocal evolution problem…
Acceleration in integro-differential combustion equations
Emeric Bouin, Jérôme Coville, Guillaume Legendre
We study acceleration phenomena in monostable integro-differential equations with ignition nonlinearity. Our results cover fractional Laplace operators and standard convolutions in…
Sharp exponent of acceleration in general nonlocal equations with a weak Allee effect
Emeric Bouin, Jérôme Coville, Guillaume Legendre
We study an acceleration phenomenon arising in monostable integro-differential equations with a weak Allee effect. Previous works have shown its occurrence and have given correct u…
Can a population survive in a shifting environment using non-local dispersion
Jérôme Coville
In this article, we analyse the non-local model : t U (t, x) = J U (t, x) -- U (t, x) + f (x -- ct, U (t, x)) for t > 0, and x R, where J is a positive con…
Propagation phenomena with nonlocal diffusion in presence of an obstacle
Julien Brasseur, Jérôme Coville
We consider a nonlocal semi-linear parabolic equation on a connected exterior domain of the form , where is a compact "obstacle". Th…
Propagation acceleration in reaction diffusion equations with anomalous diffusions
Jérôme Coville, Changfeng Gui, Mingfeng Zhao
In this paper, we are interested in the properties of solution of the nonlocal equation $$\begin{cases}u_t+(-Δ)^su=f(u),\quad t>0, \ x\in\mathbb{R}\\ u(0,x)=u_0(x),\quad x\in\mathb…