Abstract

In this Note, we derive new Carleman inequalities for the evolution Schrödinger equation under a weak pseudoconvexity condition, which allows us to use weights with a linear spatial dependence. As a result, less restrictive boundary or internal observation regions may be used to obtain the stability for the inverse problem consisting in retrieving a stationary potential in the Schrödinger equation from a single boundary or internal measurement, respectively. To cite this article: A. Mercado et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2007 Académie des sciences.