Global small-data weak solutions are shown to exist for semilinear wave equations with scaling-invariant damping μ/t whenever the power p lies between the generalized Strauss exponent and the conformal exponent, for n≥3 and μ∈(0,1)∪(1,2).
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Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping
Global small-data weak solutions are shown to exist for semilinear wave equations with scaling-invariant damping μ/t whenever the power p lies between the generalized Strauss exponent and the conformal exponent, for n≥3 and μ∈(0,1)∪(1,2).