Luca Rossi

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20142023

most citedCollective attention in the age of (mis)information

9 citations · 13 across the 6 of their papers we have counts for

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math.AP2022★ 1 cited

Asymptotic one-dimensional symmetry for the Fisher-KPP equation

François Hamel, Luca Rossi

Let $u$ be a solution of the Fisher-KPP equation $\partial_{t} u = Δ u + f (u), t > 0, x \in R^{N} .$ We address the following question: does $u$ become locally planar as $t\to…

math.AP2015

Nonexistence of nonconstant solutions of some degenerate Bellman equations and applications to stochastic control

Martino Bardi, Annalisa Cesaroni, Luca Rossi

For a class of Bellman equations in bounded domains we prove that sub- and supersolutions whose growth at the boundary is suitably controlled must be constant. The ellipticity of t…

math.AP2014

Admissible speeds of transition fronts for non-autonomous monostable equations

Francois Hamel, Luca Rossi

We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP type, depending on time $t$ and admitting two limits as $t \to \pm \infty$ . We derive the set of admi…