22 citations · 24 across the 6 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…
On the method of reflections
Philippe Laurent, Guillaume Legendre, Julien Salomon
This paper aims at reviewing and analysing the method of reflections. The latter is an iterative procedure designed to linear boundary value problems set in multiply connected doma…
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…
Evolution of anisotropic diffusion in two-dimensional heterogeneous environments
Emeric Bouin, Guillaume Legendre, Yuan Lou +1
We consider a system of two competing populations in two-dimensional heterogeneous environments. The populations are assumed to move horizontally and vertically with different prob…
Concentration Phenomenon in Some Non-Local Equation
Olivier Bonnefon, Jérôme Coville, Guillaume Legendre
We are interested in the long time behaviour of the positive solutions of the Cauchy problem involving the following integro-differential equation $$\partial\_t u(t, x) = \left(a(x…