A Global Existence Result for a Semilinear Wave Equation with Lower Order Terms on Compact Lie Groups
نویسندگان
چکیده
In this paper, we study the semilinear wave equation with lower order terms (damping and mass) power type nonlinearity $|u|^p$ on compact Lie groups. We will prove global in time existence of small data solutions evolution energy space without requiring any bounds for $p>1$. our approach, employ some results from Fourier analysis
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ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2022
ISSN: ['1531-5851', '1069-5869']
DOI: https://doi.org/10.1007/s00041-022-09915-9