12 citations · 12 across the 4 of their papers we have counts for
4 papers
Fast propagation for KPP equations with slowly decaying initial conditions
Francois Hamel, Lionel Roques
This paper is devoted to the analysis of the large-time behavior of solutions of one-dimensional Fisher-KPP reaction-diffusion equations. The initial conditions are assumed to be g…
Spreading speeds for some reaction-diffusion equations with general initial conditions
Francois Hamel, Yannick Sire
This paper is devoted to the study of some qualitative and quantitative aspects of nonlinear propagation phenomena in diffusive media. More precisely, we consider the case a reacti…
Rearrangement inequalities and applications to isoperimetric problems for eigenvalues
Francois Hamel, Nikolai Nadirashvili, Emmanuel Russ
Let be a bounded domain in , and let be the Euclidean ball centered at 0 and having the same Lebesgue measure as . Consider the operator $L=-÷(A\nab…
A Faber-Krahn inequality with drift
Francois Hamel, Nikolai Nadirashvili, Emmanuel Russ
Let be a bounded domain in (, ), be the open Euclidean ball centered at 0 having the same Lebesgue measure as , and $v\…