A Poisson Formula for the Schrödinger Operator

被引：0
|
作者：
Rémi Carles
Tohru Ozawa
机构：
[1] CNRS & Université Montpellier 2,Department of Mathematics
[2] Mathématiques,undefined
[3] Hokkaido University,undefined
来源：
Journal of Fourier Analysis and Applications | 2008年 / 14卷
关键词：
Schrödinger group; Nonlinear Schrödinger equation; Scattering theory; Dispersive properties; 35P25; 35Q55; 42A38; 47F05; 81U30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove a Poisson type formula for the Schrödinger group. Such a formula had been derived in a previous article by the authors, as a consequence of the study of the asymptotic behavior of nonlinear wave operators for small data. In this note, we propose a direct proof, and extend the range allowed for the power of the nonlinearity to the set of all short range nonlinearities. Moreover, H1-critical nonlinearities are allowed.
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页码：475 / 483
页数：8
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