Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces

Seongyeon Kim; Youngwoo Koh; Ihyeok Seo

doi:10.1016/j.jmaa.2019.05.030

Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces

Seongyeon Kim
, Youngwoo Koh
, Ihyeok Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper we study the Strichartz estimates for the Schrödinger 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.

Original language	English
Pages (from-to)	236-248
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	478
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2019.05.030
State	Published - 1 Oct 2019

Keywords

Schrödinger propagator
Strichartz estimates
Wiener amalgam spaces

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10.1016/j.jmaa.2019.05.030

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title = "Strichartz estimates for the Schr{\"o}dinger propagator in Wiener amalgam spaces",

abstract = "In this paper we study the Strichartz estimates for the Schr{\"o}dinger 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.",

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AU - Koh, Youngwoo

AU - Seo, Ihyeok

PY - 2019/10/1

Y1 - 2019/10/1

N2 - In this paper we study the Strichartz estimates for the Schrödinger 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.

AB - In this paper we study the Strichartz estimates for the Schrödinger 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.

KW - Schrödinger propagator

KW - Strichartz estimates

KW - Wiener amalgam spaces

UR - https://www.scopus.com/pages/publications/85066071995

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DO - 10.1016/j.jmaa.2019.05.030

M3 - Article

AN - SCOPUS:85066071995

SN - 0022-247X

VL - 478

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EP - 248

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces

Abstract

Keywords

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