77 citations · 196 across the 29 of their papers we have counts for
5 papers · 1 filter
The Harnack inequality for a class of degenerate elliptic operators
Francois Hamel, Andrej Zlatos
We prove a Harnack inequality for distributional solutions to a type of degenerate elliptic PDEs in dimensions. The differential operators in question are related to the Kolmog…
Speed-up of combustion fronts in shear flows
Francois Hamel, Andrej Zlatos
This paper is concerned with the analysis of speed-up of reaction-diffusion-advection traveling fronts in infinite cylinders with periodic boundary conditions. The advection is a s…
Inside dynamics of pulled and pushed fronts
Jimmy Garnier, Thomas Giletti, Francois Hamel +1
We investigate the inside structure of one-dimensional reaction-diffusion traveling fronts. The reaction terms are of the monostable, bistable or ignition types. Assuming that the…
Propagation and blocking in periodically hostile environments
Jong-Shenq Guo, Francois Hamel
We study the persistence and propagation (or blocking) phenomena for a species in periodically hostile environments. The problem is described by a reaction-diffusion equation with…
Uniqueness from pointwise observations in a multi-parameter inverse problem
Michel Cristofol, Jimmy Garnier, Francois Hamel +1
In this paper, we prove a uniqueness result in the inverse problem of determining several non-constant coefficients of one-dimensional reaction-diffusion equations. Such reaction-d…