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arXiv · 2207.08440

Sharp convergence for sequences of Schrödinger means and related generalizations

Wenjuan Li·Huiju Wang·Dunyan Yan
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Abstract

For decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero, we obtain the almost everywhere convergence results for sequences of Schrödinger means $e^{it_{n}Δ}f$, where $f \in H^{s}(\mathbb{R}^{N}), N\geq 2$. The convergence results are sharp up to the endpoints, and the method can also be applied to get the convergence results for the fractional Schrödinger means and nonelliptic Schrödinger means.

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Wenjuan Li, Huiju Wang, Dunyan Yan. 2022-07-18. Sharp convergence for sequences of Schrödinger means and related generalizations. https://doi.org/10.1017/prm.2023.102

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