Small data blow up before time C epsilon^{-2p(p-1)/((1+alpha)gamma)} for u_tt - a(t)^2 Delta u + b(t) u_t = |u|^p whenever p is below the generalized Strauss exponent.
D’Abbicco, Small data solutions for the Euler-Poisson-Darboux equati on with a power nonlinearity, J
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Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation
Small data blow up before time C epsilon^{-2p(p-1)/((1+alpha)gamma)} for u_tt - a(t)^2 Delta u + b(t) u_t = |u|^p whenever p is below the generalized Strauss exponent.