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The size (in terms of Hausdorff content) of the blow-up sets, for weak solutions to the non-homogeneous wave equation in three space dimensions, are studied when the right hand side is a function of the space and time variables, in a mixed  L p  -norm space. The methods rely on non-linear elliptic retarded potentials.

Capacity and blow-up for the 3 + 1 dimensional wave operator