Sharp pointwise convergence on the Schrödinger operator along one class of curves

Published 20 Mar 2023 in math.CA and math.AP | (2303.11002v1)

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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