论文标题
与谐波振荡器相关的schrödinger方程的尖锐strichartz类型估计值
Sharp Strichartz type estimates for the Schrödinger equation associated with harmonic oscillator
论文作者
论文摘要
在本文中，我们研究了与谐波振荡器相关的Schrödinger方程，以Strichartz型不平等的形式进行。我们为Strichartz类型不等式提供了简单的证明，纯粹是使用$ l^2 \ to l^p $运算符的频谱投影相关的谐波振荡器的频谱估算，以\ cite {kt}证明。我们的Strichartz型估计值在初始数据的规律性方面敏锐。
In this article we study the Schrödinger equation associated with Harmonic oscillator in the form of Strichartz type inequality. We give simple proofs for Strichartz type inequalities using purely the $L^2 \to L^p$ operator norm estimates of the spectral projections associated harmonic oscillator proved in \cite{KT}. Our Strichartz type estimates are sharp in sense of regularity of initial data.
