Strichartz Estimates for the Schrödinger Propagator for the Laguerre Operator

Proceedings Mathematical Sciences

Vijay Kumar Sohani¹ 

[1] Harish-Chandra Research Institute, Allahabad 0, India$$

关键词: Laguerre operator;    Laguerre functions;    homogeneous and inhomogeneous Strichartz estimates.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We obtain homogeneous Strichartz estimate for the Schrödinger propagator $e^{-itL_𝛼}$ for the Laguerre operator $L_𝛼$ on $mathbb{R}^n_+$. We follow regularization technique as introduced in J. Funct. Anal. 224(2) (2005) 371–385. We also establish inhomogeneous Strichartz estimates for different admissible pairs.

【 授权许可】

Unknown