A Blowup Solution of Multispeed Klein-Gordon System in Space Dimension Two with Small Initial Data
Analysis of PDEs
2024-02-07 v1
Abstract
We find an example to illustrate that the first nondegeneracy condition of (1.2) is actually needed in proving the global exsitence of 2D multispeed Klein-Gordon system with small initial data (See [3]). We construct a collection of special Klein-Gordon dispersive relations and by iterating the corresponding profiles we can find a blowup in finite time.
Cite
@article{arxiv.2402.03727,
title = {A Blowup Solution of Multispeed Klein-Gordon System in Space Dimension Two with Small Initial Data},
author = {Xilu Zhu},
journal= {arXiv preprint arXiv:2402.03727},
year = {2024}
}
Comments
22 pages