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.
A Global Existence Result for a Semilinear Wave Equation with Lower Order Terms on Compact Lie Groups
Palmieri A.
2022-01-01
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.File in questo prodotto:
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Palmieri A. (2022 JFAA) - A global existence result for a semilinear wave equation with lower order terms on compact Lie groups.pdf
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Palmieri A. (2022 JFAA - ArXiv version) - A global existence result for a semilinear wave equation with lower order terms on compact Lie groups.pdf
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