Abstract

We consider the semilinear wave equation ∂t2u−Δu=f(u),(x,t)∈RN×[0,T),(1) with f(u)=|u|p−1uloga(2+u2), where p>1 and a∈R, with subconformal power nonlinearity. We will show that the blow-up rate of any singular solution of (1) is given by the ODE solution associated with (1), The result in one space dimension, has been proved in Hamza and Zaag (2020). Our goal here is to extend this result to higher dimensions.

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