Strichartz Estimates for Schrodinger Operators with Square Potential with Time-Dependent Coefficients

被引：4

作者：

Kawamoto, Masaki ^{[1
]}

机构：

[1] Ehime Univ, Grad Sch Sci & Engn, Dept Engn Prod, 3 Bunkyo Cho, Matsuyama, Ehime 7908577, Japan

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2023年 / 31卷 / 04期

基金：

日本学术振兴会;

关键词：

Strichartz estimates; Time-dependent harmonic oscillators; Time-dependent magnetic fields; Schrodinger equations; EQUATIONS; SCATTERING; EXISTENCE; BEHAVIOR; DECAY;

D O I：

10.1007/s12591-020-00537-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Strichartz estimates for a time-decaying harmonic oscillator were proven with some assumptions of coefficients for the time-decaying harmonic potentials. The main results of this paper are to remove these assumptions and to enable us to deal with the more general coefficient functions. Moreover, we also prove similar estimates for time-decaying homogeneous magnetic fields.

引用

页码：827 / 845

页数：19

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