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.
Matsumura, On the asymptotic behavior of solutions of semi-linear wave equations,Publ
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The authors establish sharp conditions on moduli of continuity for global existence versus finite-time blow-up in a weakly coupled system of structurally damped wave equations with critical nonlinearities, together with sharp lifespan estimates.
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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.
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Blow-up and sharp lifespan estimates to the weakly coupled system of structurally damped wave equations with critical nonlinearities
The authors establish sharp conditions on moduli of continuity for global existence versus finite-time blow-up in a weakly coupled system of structurally damped wave equations with critical nonlinearities, together with sharp lifespan estimates.