Bilinear estimate for Schrödinger equation on ℝ × \mathbbT

2024/07/08 by Yangkendi Deng, Boning Di, Deng, Yangkendi +5
Mathematics · #Numerical methods in inverse problems #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2407.05654

Abstract

We continue our study of bilinear estimates on waveguide ℝ× \mathbbT started in \citeDFYZZ2024,Deng2023. The main point of the current article is, comparing to previous work \citeDeng2023, that we obtain estimates beyond the semiclassical time regime. Our estimate is sharp in the sense that one can construct examples which saturate this estimate.

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