Dispersion and Strichartz inequalities for the 1D Schrodinger equation with variables coefficients.

Dispersion and Strichartz inequalities for the ID Schrodinger equation with variables coefficients. We study the dispersive properties of the solution to the ID Schrodinger equation without an explicit formula of the solution, and we prove local Strichartz estimates for metrics g epsilon C-b(2). In the constant coefficient Schrodinger equation case, this method provides the classical dispersion in all dimension. To cite this article: D. Salort, C R. Acad. Sci. Paris, Ser. 1340 (2005). (c) 2005 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.