Open Access
Summer 2001 Regularity of solutions to the free Schrödinger equation with radial initial data
M. C. Vilela
Illinois J. Math. 45(2): 361-370 (Summer 2001). DOI: 10.1215/ijm/1258138345

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

Download 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

Published: Summer 2001
First available in Project Euclid: 13 November 2009

zbMATH: 1161.42306
MathSciNet: MR1878609
Digital Object Identifier: 10.1215/ijm/1258138345

Subjects:
Primary: 35J10
Secondary: 35B45 , 35B65 , 35Q55

Rights: Copyright © 2001 University of Illinois at Urbana-Champaign

Vol.45 • No. 2 • Summer 2001
Back to Top