90 citations · 237 across the 30 of their papers we have counts for
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Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations
Grégoire Nadin, Luca Rossi
This paper investigates the existence of generalized transition fronts for Fisher-KPP equations in one-dimensional, almost periodic media. Assuming that the linearized elliptic ope…
On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary
Daniele Castorina, Annalisa Cesaroni, Luca Rossi
We derive the long time asymptotic of solutions to an evolutive Hamilton-Jacobi-Bellman equation in a bounded smooth domain, in connection with ergodic problems recently studied in…
The effect of a line with non-local diffusion on Fisher-KPP propagation
Henri Berestycki, Anne-Charline Coulon, Jean-Michel Roquejoffre +1
We propose here a new model of accelerating fronts, consisting of one equation with non-local diffusion on a line, coupled via the boundary condition with a reaction-diffusion equa…
The effect on Fisher-KPP propagation in a cylinder with fast diffusion on the boundary
Luca Rossi, Andrea Tellini, Enrico Valdinoci
In this paper we consider a reaction-diffusion equation of Fisher-KPP type inside an infinite cylindrical domain in , coupled with a reaction-diffusion equation o…
The Freidlin-Gartner formula for general reaction terms
Luca Rossi
We devise a new geometric approach to study the propagation of disturbance - compactly supported data - in reaction diffusion equations. The method builds a bridge between the prop…
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…