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math.AP2015
On the definition and the properties of the principal eigenvalue of some nonlocal operators
Henri Berestycki, Jérôme Coville, Hoang-Hung Vo
In this article we study some spectral properties of the linear operator defined on the space by :$$ \mathcal{L}\_Ω[φ] +aφ:=\int\_ΩK(x,y)φ(y)\,dy+a(x)…
math.AP2015
Concentration Phenomenon in Some Non-Local Equation
Olivier Bonnefon, Jérôme Coville, Guillaume Legendre
We are interested in the long time behaviour of the positive solutions of the Cauchy problem involving the following integro-differential equation $$\partial\_t u(t, x) = \left(a(x…