Some new Strichartz estimates for the Schr\"odinger equation
Analysis of PDEs
2016-06-28 v1 Mathematical Physics
math.MP
Abstract
We deal with fixed-time and Strichartz estimates for the Schr\"odinger propagator as an operator on Wiener amalgam spaces. We discuss the sharpness of the known estimates and we provide some new estimates which generalize the classical ones. As an application, we present a result on the wellposedness of the linear Schr\"odinger equation with a rough time dependent potential.
Cite
@article{arxiv.0707.4584,
title = {Some new Strichartz estimates for the Schr\"odinger equation},
author = {Elena Cordero and Fabio Nicola},
journal= {arXiv preprint arXiv:0707.4584},
year = {2016}
}
Comments
30 pages