Decay estimates of solutions of a nonlinearly damped semilinear wave equation
Aissa Guesmia, Salim A. Messaoudi (2005)
Annales Polonici Mathematici
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We consider an initial boundary value problem for the equation . We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.