Sharp convergence rate on Schrödingertype operators

Meng Wang and Shuijiang Zhao

Mathematische Nachrichten, 2025, vol. 298, issue 3, 1082-1096

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.

Date: 2025
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https://doi.org/10.1002/mana.202400266

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:298:y:2025:i:3:p:1082-1096

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