Abstract
We derive weighted smoothing inequalities for solutions of the free Schrödinger equation. As an application, we give a new proof of the endpoint Strichartz estimates in the radial case. We also consider general dispersive equations and obtain similar estimates in this case.
Citation
M. C. Vilela. "Regularity of solutions to the free Schrödinger equation with radial initial data." Illinois J. Math. 45 (2) 361 - 370, Summer 2001. https://doi.org/10.1215/ijm/1258138345
Information