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arXiv · 2303.11002

Sharp pointwise convergence on the Schr\"odinger operator along one class of curves

Zhenbin Cao·Changxing Miao
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Abstract

Almost everywhere convergence on the solution of Schr\"odinger equation is an important problem raised by Carleson, which was essentially solved by Du-Guth-Li and Du-Zhang. In this note, we obtain the sharp pointwise convergence on the Schr\"odinger operator along one class of curves.

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Zhenbin Cao, Changxing Miao. 2023-03-20. Sharp pointwise convergence on the Schr\"odinger operator along one class of curves. https://doi.org/10.1016/j.bulsci.2023.103254

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