2 citations · 2 across the 4 of their papers we have counts for
4 papers
Existence of solutions to the voltage-conductance kinetic equation in a general conductivity regime
C Fonte Sanchez, S Mischler, D Salort
We establish the existence of a weak solution to the Voltage-Conductance kinetic equation for any conductivity parameter and any reasonable initial datum, and in particular without…
Statistical estimation of a mean-field FitzHugh-Nagumo model
Claudia Fonte Sanchez, Marc Hoffmann
We consider an interacting system of particles with value in , governed by transport and diffusion on the first component, on that may serve as a…
On the Voltage-Conductance kinetic equation
Claudia Fonte Sánchez, Stéphane Mischler
We consider the nonlinear Voltage-Conductance kinetic equation arising in neuroscience. We establish the existence of solutions in a weighted framework in a weak interac…
On the Krein-Rutman theorem and beyond
Claudia Fonte Sanchez, Pierre Gabriel, Stéphane Mischler
In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a Banach lattice framework and we provide some very general, efficient and handy results wi…