We present recent results concerning the regularizing effects and the propagation of analytic singularities for the solutions to the Schroedinger equation. In particular, for short-range perturbations of the laplacian, we give a complete characterization of the analytic wave front set of such solutions in terms of that of the free evolution of the initial data.
A. Martinez, V. Sordoni, S. Nakamura (2008). Propagation of analytic singularities for the Schr"odinger Equation. SEMINAIRE SUR LES EQUATIONS AUX DERIVEES PARTIELLES, 2007-2008, XVIII-1-XVIII-14.
Propagation of analytic singularities for the Schr"odinger Equation
MARTINEZ, ANDRE' GEORGES;SORDONI, VANIA;
2008
Abstract
We present recent results concerning the regularizing effects and the propagation of analytic singularities for the solutions to the Schroedinger equation. In particular, for short-range perturbations of the laplacian, we give a complete characterization of the analytic wave front set of such solutions in terms of that of the free evolution of the initial data.File in questo prodotto:
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