Strichartz Estimates in Spherical Coordinates
Analysis of PDEs
2012-12-06 v3 Classical Analysis and ODEs
Abstract
In this paper we study Strichartz estimates for dispersive equations which are defined by radially symmetric pseudo-differential operators, and of which initial data belongs to spaces of Sobolev type defined in spherical coordinates. We obtain the space time estimates on the best possible range including the endpoint cases.
Cite
@article{arxiv.1202.3543,
title = {Strichartz Estimates in Spherical Coordinates},
author = {Yonggeun Cho and Sanghyuk Lee},
journal= {arXiv preprint arXiv:1202.3543},
year = {2012}
}
Comments
29 pages, references and typos corrected, to appear in Indiana University Mathematics Journal