Sharp convergence rate on Schrödinger type operators

Meng Wang; Shuijiang Zhao

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arXiv · 2405.14134

Sharp convergence rate on Schrödinger type operators

Meng Wang·Shuijiang Zhao

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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.

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Meng Wang, Shuijiang Zhao. 2024-05-23. Sharp convergence rate on Schrödinger type operators. https://arxiv.org/abs/2405.14134

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