A new critical exponent p_Fuji((n+2β)/(2+γ)) = 1 + (4+2γ)/(n+2β) separates global small-data solutions from finite-time blow-up for the damped wave equation with Hartree nonlinearity in homogeneous Besov spaces.
Hartree, The wave mechanics of an atom with a non-Coulomb central field
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A new critical exponent for the semilinear damped wave equation with Hartree-type nonlinearity and initial data from homogeneous Besov spaces
A new critical exponent p_Fuji((n+2β)/(2+γ)) = 1 + (4+2γ)/(n+2β) separates global small-data solutions from finite-time blow-up for the damped wave equation with Hartree nonlinearity in homogeneous Besov spaces.