Détermination du potentiel dans l'équation de Schrödinger à partir de mesures sur une partie du bord

We study the Schrödinger equation iy′+Δy+qy=0 on $\text{Ω×(0,T)}$ with Dirichlet boundary data $\text{y|}{}_{\mathrm{?\Omega \times (0,T)}}$ and initial condition $\text{y|}{}_{\mathrm{\Omega \times \{0\}}}$ and we consider the inverse problem of determining the potential q(x), $\text{x∈Ω}$ when is given, where Γ₀ is an open subset of $\text{?Ω}$ satisfying an appropriate geometrical condition. The detailed proof will be given in 1]. To cite this article: L. Baudouin, J.-P. Puel, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 967–972.