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arXiv · 2402.03727

A Blowup Solution of Multispeed Klein-Gordon System in Space Dimension Two with Small Initial Data

Xilu Zhu
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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.

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Xilu Zhu. 2024-02-06. A Blowup Solution of Multispeed Klein-Gordon System in Space Dimension Two with Small Initial Data. https://arxiv.org/abs/2402.03727

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