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We show that the finite time type II blow up solutions for the energycritical nonlinear wave equation \[ \Box u = -u^5 \] on $\R^{3+1}$ constructedin earlier work by Krieger-Schlag-Tataru are stable along a co-dimension threemanifold of radial data perturbations in a suitable topology, provided thescaling parameter $\lambda(t) = t^{-1-\nu}$ is sufficiently close to theself-similar rate, i. e. $\nu>0$ is sufficiently small. Our method is based onFourier techniques adapted to time dependent wave operators of the form \[-\partial_t^2 + \partial_r^2 + \frac2r\partial_r +V(\lambda(t)r) \] forsuitable monotone scaling parameters $\lambda(t)$ and potentials $V(r)$ with aresonance at zero.

On stability of type II blow up for the critical NLW on \R^{3+1}