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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
