66 citations · 67 across the 6 of their papers we have counts for
6 papers
Stability result for a time dependent potential in a waveguide
Patricia Gaitan, Yavar Kian
We consider the operator in 2D or 3D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the tim…
Simultaneous Identification of the Diffusion Coefficient and the Potential for the Schrödinger Operator with only one Observation
Laure Cardoulis, Patricia Gaitan
This article is devoted to prove a stability result for two independent coefficients for a Schrödinger operator in an unbounded strip. The result is obtained with only one observat…
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 Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation
Patricia Gaitan
For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincaré-type es…
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…