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We consider semilinear wave equations with focusing power nonlinearities inodd space dimensions $d \geq 5$. We prove that for every $p > \frac{d+3}{d-1}$there exists an open set of radial initial data in $H^{\frac{d+1}{2}} \timesH^{\frac{d-1}{2}}$ such that the corresponding solution exists in a backwardlightcone and approaches the ODE blowup profile. The result covers the entirerange of energy supercritical nonlinearities and extends our previous work forthe three-dimensional radial wave equation to higher space dimensions.

Stable blowup for wave equations in odd space dimensions