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20092025
most citedOn a simple criterion for the existence of a principal eigenfunction of some nonlocal operators

234 citations

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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…