The sharp lifespan for a system of multiple speed wave equations: Radial case
Analysis of PDEs
2025-05-20 v2
Abstract
Ohta examined a system of multiple speed wave equations with small initial data and demonstrated a finite time blowup. We show, in the radial case, that the same system exists almost globally with the same lifespan as a lower bound. To do this, we use integrated local energy estimate, weighted local energy estimates, the Morawetz estimate that results from using the scaling vector field as a multiplier, and mixed speed ghost weights.
Keywords
Cite
@article{arxiv.2501.18806,
title = {The sharp lifespan for a system of multiple speed wave equations: Radial case},
author = {Marvin Koonce and Jason Metcalfe},
journal= {arXiv preprint arXiv:2501.18806},
year = {2025}
}