The blow-up curve is C^1 for the damped nonlinear wave equation with derivative nonlinearity.
Haraux,Remarks in the wave equation with a nonlinear term with respect to the velocity, Portugal
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Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
The blow-up curve is C^1 for the damped nonlinear wave equation with derivative nonlinearity.