Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group

Wenhui Chen; Alessandro Palmieri

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arXiv · 2604.06626

Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group

Wenhui Chen·Alessandro Palmieri

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Abstract

In this paper, we investigate the blow-up in finite time and the corresponding lifespan estimates for a weakly coupled system of wave equations on a compact Lie group. In particular, we show how the Cauchy data and the presence of lower order terms affect the lifespan of local in-time solutions.

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Wenhui Chen, Alessandro Palmieri. 2026-04-08. Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group. https://arxiv.org/abs/2604.06626

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