Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916839127252992 |
|---|---|
| author | Cho, Chu-Hee Eceizabarrena, Daniel |
| author_facet | Cho, Chu-Hee Eceizabarrena, Daniel |
| contents | We study the problem of pointwise convegence for the Schrödinger operator on $\mathbb R^n$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07253 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation Cho, Chu-Hee Eceizabarrena, Daniel Analysis of PDEs Classical Analysis and ODEs 35J10, 42B37 We study the problem of pointwise convegence for the Schrödinger operator on $\mathbb R^n$ 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. |
| title | Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation |
| topic | Analysis of PDEs Classical Analysis and ODEs 35J10, 42B37 |
| url | https://arxiv.org/abs/2403.07253 |