Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Wang, Xiangyu
Institution: University of Illinois Urbana-Champaign
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214720670