On a free Schrödinger solution studied by Barceló–Bennett–Carbery–Ruiz–Vilela

Author:

Du Xiumin,Ou Yumeng,Wang Hong,Zhang Ruixiang

Abstract

We present a free Schrödinger solution studied by Barceló–Bennett–Carbery–Ruiz–Vilela and show why it can be viewed as a sharp example for the recently discovered refined decoupling theorem.

Publisher

American Mathematical Society

Reference7 articles.

1. Some special solutions of the Schrödinger equation;Barceló, J. A.;Indiana Univ. Math. J.,2007

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3. Anthony Carbery, Marina Iliopoulou, and Hong Wang, Some sharp inequalities of Mizohata-Takeuchi-type, Preprint, arXiv:2302.11877, (2023).

4. Small cap decouplings;Demeter, Ciprian;Geom. Funct. Anal.,2020

5. An improved result for Falconer’s distance set problem in even dimensions;Du, Xiumin;Math. Ann.,2021

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