Dispersion et inégalités de Strichartz pour l'équation de Schrödinger 1D Ã coefficients variables

We study the dispersive properties of the solution to the 1D Schrödinger equation without an explicit formula of the solution, and we prove local Strichartz estimates for metrics g∈Cb2. In the constant coefficient Schrödinger equation case, this method provides the classical dispersion in all dimension. To cite this article: D. Salort, C. R. Acad. Sci. Paris, Ser. I 340 (2005).