Bilinear estimate for Schr\"odinger equation on R × T
Abstract
We continue our study of bilinear estimates on waveguide R× T started in DFYZZ2024,Deng2023. The main point of the current article is, comparing to previous work Deng2023, 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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