P. Gaitan

activity

20062008

collaborators

3 papers

math.AP2008

Inverse problem for a parabolic system with two components by measurements of one component

Assia Benabdallah, Michel Cristofol, Patricia Gaitan +1

We consider a $2 \times 2$ 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…

math.AP2007

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…

math.AP2006

Inverse Problem for the Schrödinger Operator in an Unbounded Strip

Laure Cardoulis, Michel Cristofol, Patricia Gaitan

We consider the operator $H := i \partial_{t} + \nabla \cdot (c \nabla)$ in an unbounded strip $Ω$ in $R^{2}$ , where $c (x, y) \in C^{3} (Ω ˉ)$ . We prove adapted a globa…