Generalized and weighted Strichartz estimates
Analysis of PDEs
2012-07-24 v2
Abstract
In this paper, we explore the relations between different kinds of Strichartz estimates and give new estimates in Euclidean space . In particular, we prove the generalized and weighted Strichartz estimates for a large class of dispersive operators including the Schr\"odinger and wave equation. As a sample application of these new estimates, we are able to prove the Strauss conjecture with low regularity for dimension 2 and 3.
Cite
@article{arxiv.1008.5397,
title = {Generalized and weighted Strichartz estimates},
author = {Jin-Cheng Jiang and Chengbo Wang and Xin Yu},
journal= {arXiv preprint arXiv:1008.5397},
year = {2012}
}
Comments
Final version, to appear in the Communications on Pure and Applied Analysis. 33 pages. 2 more references added