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arXiv · 2006.00759

A global existence result for a semilinear wave equation with lower order terms on compact Lie groups

Alessandro Palmieri
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Abstract

In this paper, we study the semilinear wave equation with lower order terms (damping and mass) and with power type nonlinearity $|u|^p$ on compact Lie groups. We will prove the global in time existence of small data solutions in the evolution energy space without requiring any lower bounds for $p>1$. In our approach, we employ some results from Fourier analysis on compact Lie groups.

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Alessandro Palmieri. 2020-06-01. A global existence result for a semilinear wave equation with lower order terms on compact Lie groups. https://doi.org/10.1007/s00041-022-09915-9

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