We consider the semilinear wave equation with a power nonlinearity in the radial case. Given \(r_0>0\) , we construct a blow-up solution such that the solution near \((r_0,T(r_0))\) converges exponentially to a soliton. Moreover, we show that \(r_0\) is a non-characteristic point. For that, we translate the question in self-similar variables and use a modulation technique. We will also use energy estimates from the one dimensional case treated in [7]. Of course because of the radial setting, we have an additional gradient term which is delicate to handle. That’s precisely the purpose of our paper.
