Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.18806 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912380509749248 |
|---|---|
| author | Koonce, Marvin Metcalfe, Jason |
| author_facet | Koonce, Marvin Metcalfe, Jason |
| contents | 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, $r^p$ weighted local energy estimates, the Morawetz estimate that results from using the scaling vector field as a multiplier, and mixed speed ghost weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The sharp lifespan for a system of multiple speed wave equations: Radial case Koonce, Marvin Metcalfe, Jason Analysis of PDEs 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, $r^p$ weighted local energy estimates, the Morawetz estimate that results from using the scaling vector field as a multiplier, and mixed speed ghost weights. |
| title | The sharp lifespan for a system of multiple speed wave equations: Radial case |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.18806 |