PreprintCC0arXiv
Wave Packet Density in Local Smoothing: Refinements and Limitations
Abstract
We study wave packet density estimates in the local smoothing problem for the wave equation. Building on the framework of Gan, He, Li, and Wu, we refine the broad-incidence argument to obtain an improved local smoothing range in even dimensions. We then investigate the limitations of wave packet density methods, showing that genuine geometric obstructions already arise in the Euclidean setting.
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BibTeX
@misc{wang2026wave,
title = {{Wave Packet Density in Local Smoothing: Refinements and Limitations}},
author = {Xiangyu Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.34675},
eprint = {2609.34675},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.34675},
note = {CC0},
}
RIS
TY - UNPB
TI - Wave Packet Density in Local Smoothing: Refinements and Limitations
AU - Xiangyu Wang
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2609.34675
UR - https://arxiv.org/abs/2609.34675
AB - We study wave packet density estimates in the local smoothing problem for the wave equation. Building on the framework of Gan, He, Li, and Wu, we refine the broad-incidence argument to obtain an improved local smoothing range in even dimensions. We then investigate the limitations of wave packet density methods, showing that genuine geometric obstructions already arise in the Euclidean setting.
ER -