Work

Bourgain’s Counterexample in the Sequential Convergence Problem for the Schrödinger Equation

Year: 2025

Type: article

Abstract: We study the problem of pointwise convergence for the Schrödinger operator on $${\mathbb {R}}^n$$ R n along time sequences. We show that the sharp counterexample to the sequential Schrödinger maximal estimate given recently by Li, Wang and Yan based in the construction by Lucà and Rogers can also be achieved with the construction of Bourgain, and we extend it to the fractal setting.

Source: Journal of Fourier Analysis and Applications

DOI: 10.1007/s00041-025-10162-x

Authors: Chu-Hee Cho, Daniel Eceizabarrena

Institutions: Seoul National University, University of Massachusetts Amherst, Basque Center for Applied Mathematics

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: European Commission, HORIZON EUROPE Framework Programme, HORIZON EUROPE Marie Sklodowska-Curie Actions