Sharp Strichartz type estimates for the Schr\"{o}dinger equation associated with harmonic oscillator
Analysis of PDEs
2022-09-29 v1 Classical Analysis and ODEs
Abstract
In this article we study the Schr\"odinger equation associated with Harmonic oscillator in the form of Strichartz type inequality. We give simple proofs for Strichartz type inequalities using purely the 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.
Cite
@article{arxiv.2209.13615,
title = {Sharp Strichartz type estimates for the Schr\"{o}dinger equation associated with harmonic oscillator},
author = {P Jitendra Kumar Senapati and Pradeep Boggarapu},
journal= {arXiv preprint arXiv:2209.13615},
year = {2022}
}