Global regularity for supercritical nonlinear dissipative wave equations in 3D

The radial symmetry allows a reduction to the one-dimensional case where an important observation of Haraux (2009) can be applied, i.e., dissipative nonlinear wave equations contract initial data in Wk,q(R)×Wk−1,q(R) for all k∈[1,2] and q∈[1,∞].