NEW ESTIMATES FOR A TIME-DEPENDENT SCHRODINGER EQUATION

被引：45
作者：
Beceanu, Marius [1 ]
机构：
[1] Ecole Hautes Etud Sci Sociales, Ctr Anal & Math Sociales, F-75006 Paris, France
来源：
DUKE MATHEMATICAL JOURNAL | 2011年 / 159卷 / 03期
关键词：
SOBOLEV NORMS; SCATTERING-THEORY; DECAY; WAVE; OPERATORS; GROWTH; BOUNDS;
D O I：
10.1215/00127094-1433394
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper establishes new estimates for linear Schrodinger equations in R-3 with time-dependent potentials. Some of the results are new even in the time-independent case, and all are shown to hold for potentials in scaling-critical, translation-invariant spaces. The proof of the time-independent results uses a novel method based on an abstract version of Wiener's theorem.
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收藏
页码：417 / 477
页数：61
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