4 papers · 1 filter
Biological invasions: deriving the regions at risk from partial measurements
Michel Cristofol, Lionel Roques
We consider the problem of forecasting the regions at higher risk for newly introduced invasive species. Favourable and unfavourable regions may indeed not be known a priori, espec…
Inverse problem for a parabolic system with two components by measurements of one component
Assia Benabdallah, Michel Cristofol, Patricia Gaitan +1
We consider a system of parabolic equations with first and zeroth coupling and establish a Carleman estimate by extra data of only one component without data of initial…
Inverse Problem for the Schrödinger Operator in an Unbounded Strip
Laure Cardoulis, Michel Cristofol, Patricia Gaitan
We consider the operator in an unbounded strip in , where . We prove adapted a globa…
Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation
Michel Cristofol, Patricia Gaitan, Hichem Ramoul
For a two by two reaction-diffusion system on a bounded domain we give a simultaneous stability result for one coefficient and for the initial conditions. The key ingredient is a g…