Sharp convergence rate on Schrödingertype operators
Abstract For Schrödinger‐type operators in one dimension, we consider the relationship between the convergence rate and the regularity for initial data. By establishing the associated frequency‐localized maximal estimates, we prove sharp results up to the endpoints. The optimal range for the wave operator in all dimensions is also obtained.
Authors
- Shuijiang Zhao (ORCID: https://orcid.org/0000-0003-3889-9253)
- Meng Wang (ORCID: https://orcid.org/0000-0002-1578-3154)
Institutions
- Zhejiang University (CN)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1002/mana.202400266
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China