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.
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页码：25 / 41
页数：17
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