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

Zhenbin Cao; Changxing Miao

doi:10.1016/j.bulsci.2023.103254

paper

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

arXiv:2303.11002 · doi:10.1016/j.bulsci.2023.103254

Abstract

Almost everywhere convergence on the solution of Schrödinger 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 Schrödinger operator along one class of curves.

arXiv comment15 pages, To appear in Bulletin des sciences mathématiques