For a<0, solutions to the log-perturbed semilinear wave equation blow up at the Type I rate in the conformal regime p=1+4/(n-1).
Hamza, The blow-up rate for strongly perturbed semilinear wave equations in the conformal regime without a radial assumption, Asymptot
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The blow-up rate for a log non-scaling invariant semilinear wave equation in the conformal regime
For a<0, solutions to the log-perturbed semilinear wave equation blow up at the Type I rate in the conformal regime p=1+4/(n-1).