Decay estimates of solutions of a nonlinearly damped semilinear wave equation
2005; Polish Academy of Sciences; Volume: 85; Issue: 1 Linguagem: Inglês
10.4064/ap85-1-3
ISSN1730-6272
AutoresAissa Guesmia, Salim A. Messaoudi,
Tópico(s)Stability and Controllability of Differential Equations
ResumoWe consider an initial boundary value problem for the equation $u_{tt}-{\mit \Delta } u-\nabla \phi \cdot \nabla u+f(u)+g(u_{t})=0$. We first prove local and global existence results under suitable conditions on $f$ and $g$. Then we show that weak solutio
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