Strichartz estimates in Wiener amalgam spaces for the Schrodinger equation

被引：24

作者：

Cordero, Elena ^{[1
]}

Nicola, Fabio ^{[2
]}

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2008年 / 281卷 / 01期

关键词：

Schrodinger equation; Strichartz estimates; dispersive estimates; Wiener amalgam spaces;

D O I：

10.1002/mana.200610585

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the dispersive properties of the Schrodinger equation. Precisely, we look for estimates which give a control of the local regularity and decay at infinity separately. The Banach spaces that allow such a treatment are the Wiener amalgam spaces, and Strichartz-type estimates are proved in this framework. These estimates improve some of the classical ones in the case of large time. (c) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：25 / 41

页数：17

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