Sharp Strichartz type estimates for the Schr\"odinger equation associated with harmonic oscillator
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 L2 Lp operator norm estimates of the spectral projections associated harmonic oscillator proved in KT. Our Strichartz type estimates are sharp in sense of regularity of initial data.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.