English

Strichartz estimates for the Schr\"odinger propagator in Wiener amalgam spaces

Analysis of PDEs 2019-05-20 v2

Abstract

In this paper we study the Strichartz estimates for the Schr\"odinger propagator in the context of Wiener amalgam spaces which, unlike the Lebesgue spaces, control the local regularity of a function and its decay at infinity separately. This separability makes it possible to perform a finer analysis of the local and global behavior of the propagator. Our results improve some of the classical ones in the case of large time.

Keywords

Cite

@article{arxiv.1902.08940,
  title  = {Strichartz estimates for the Schr\"odinger propagator in Wiener amalgam spaces},
  author = {Seongyeon Kim and Youngwoo Koh and Ihyeok Seo},
  journal= {arXiv preprint arXiv:1902.08940},
  year   = {2019}
}

Comments

To appear in J. Math. Anal. Appl., 13 pages