3 papers
math.AP2021
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…
math.AP2021
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…
math.AP2020
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…